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Finding the Third Proportional to 545,797,706 and 891,144,120

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Solution

The third proportional to 545,797,706 and 891,144,120 is: 1,455,003,994.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,797,706 : 891,144,120 = 891,144,120 : x
  2. Step 2: Convert to fraction form
    545,797,706/891,144,120 = 891,144,120/x
  3. Step 3: Cross multiply
    545,797,706x = 891,144,120 × 891,144,120
  4. Step 4: Simplify right side
    545,797,706x = 794,137,842,610,574,336
  5. Step 5: Solve for x
    x = 794,137,842,610,574,336/545,797,706
  6. Step 6: Final answer
    x = 1,455,003,994.85

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.