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Finding the Third Proportional to 625,686,854 and 852,078,698

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Solution

The third proportional to 625,686,854 and 852,078,698 is: 1,160,385,747.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,686,854 : 852,078,698 = 852,078,698 : x
  2. Step 2: Convert to fraction form
    625,686,854/852,078,698 = 852,078,698/x
  3. Step 3: Cross multiply
    625,686,854x = 852,078,698 × 852,078,698
  4. Step 4: Simplify right side
    625,686,854x = 726,038,107,585,375,232
  5. Step 5: Solve for x
    x = 726,038,107,585,375,232/625,686,854
  6. Step 6: Final answer
    x = 1,160,385,747.19

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.