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Finding the Third Proportional to 743,600,432.25 and 1,124,964,362.25

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Solution

The third proportional to 743,600,432.25 and 1,124,964,362.25 is: 1,701,915,116.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    743,600,432.25 : 1,124,964,362.25 = 1,124,964,362.25 : x
  2. Step 2: Convert to fraction form
    743,600,432.25/1,124,964,362.25 = 1,124,964,362.25/x
  3. Step 3: Cross multiply
    743,600,432.25x = 1,124,964,362.25 × 1,124,964,362.25
  4. Step 4: Simplify right side
    743,600,432.25x = 1,265,544,816,332,549,120
  5. Step 5: Solve for x
    x = 1,265,544,816,332,549,120/743,600,432.25
  6. Step 6: Final answer
    x = 1,701,915,116.57

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