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Finding the Third Proportional to 321,941,798 and 698,326,716

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Solution

The third proportional to 321,941,798 and 698,326,716 is: 1,514,746,470.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,941,798 : 698,326,716 = 698,326,716 : x
  2. Step 2: Convert to fraction form
    321,941,798/698,326,716 = 698,326,716/x
  3. Step 3: Cross multiply
    321,941,798x = 698,326,716 × 698,326,716
  4. Step 4: Simplify right side
    321,941,798x = 487,660,202,279,344,640
  5. Step 5: Solve for x
    x = 487,660,202,279,344,640/321,941,798
  6. Step 6: Final answer
    x = 1,514,746,470.66

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Why These Related Problems?

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