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Finding the Third Proportional to 321,941,792 and 698,326,704

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Solution

The third proportional to 321,941,792 and 698,326,704 is: 1,514,746,446.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,941,792 : 698,326,704 = 698,326,704 : x
  2. Step 2: Convert to fraction form
    321,941,792/698,326,704 = 698,326,704/x
  3. Step 3: Cross multiply
    321,941,792x = 698,326,704 × 698,326,704
  4. Step 4: Simplify right side
    321,941,792x = 487,660,185,519,503,616
  5. Step 5: Solve for x
    x = 487,660,185,519,503,616/321,941,792
  6. Step 6: Final answer
    x = 1,514,746,446.83

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.