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Finding the Third Proportional to 743,494,306 and 1,124,819,463

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Solution

The third proportional to 743,494,306 and 1,124,819,463 is: 1,701,719,588.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    743,494,306 : 1,124,819,463 = 1,124,819,463 : x
  2. Step 2: Convert to fraction form
    743,494,306/1,124,819,463 = 1,124,819,463/x
  3. Step 3: Cross multiply
    743,494,306x = 1,124,819,463 × 1,124,819,463
  4. Step 4: Simplify right side
    743,494,306x = 1,265,218,824,343,608,320
  5. Step 5: Solve for x
    x = 1,265,218,824,343,608,320/743,494,306
  6. Step 6: Final answer
    x = 1,701,719,588.35

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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.