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Finding the Third Proportional to 321,941,802 and 698,326,724

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Solution

The third proportional to 321,941,802 and 698,326,724 is: 1,514,746,486.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,941,802 : 698,326,724 = 698,326,724 : x
  2. Step 2: Convert to fraction form
    321,941,802/698,326,724 = 698,326,724/x
  3. Step 3: Cross multiply
    321,941,802x = 698,326,724 × 698,326,724
  4. Step 4: Simplify right side
    321,941,802x = 487,660,213,452,572,160
  5. Step 5: Solve for x
    x = 487,660,213,452,572,160/321,941,802
  6. Step 6: Final answer
    x = 1,514,746,486.55

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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.