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Finding the Third Proportional to 743,600,368.34 and 1,124,964,271.23

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Solution

The third proportional to 743,600,368.34 and 1,124,964,271.23 is: 1,701,914,987.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    743,600,368.34 : 1,124,964,271.23 = 1,124,964,271.23 : x
  2. Step 2: Convert to fraction form
    743,600,368.34/1,124,964,271.23 = 1,124,964,271.23/x
  3. Step 3: Cross multiply
    743,600,368.34x = 1,124,964,271.23 × 1,124,964,271.23
  4. Step 4: Simplify right side
    743,600,368.34x = 1,265,544,611,544,945,152
  5. Step 5: Solve for x
    x = 1,265,544,611,544,945,152/743,600,368.34
  6. Step 6: Final answer
    x = 1,701,914,987.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.