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Finding the Third Proportional to 321,706,620 and 694,431,534

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Solution

The third proportional to 321,706,620 and 694,431,534 is: 1,498,990,463.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,706,620 : 694,431,534 = 694,431,534 : x
  2. Step 2: Convert to fraction form
    321,706,620/694,431,534 = 694,431,534/x
  3. Step 3: Cross multiply
    321,706,620x = 694,431,534 × 694,431,534
  4. Step 4: Simplify right side
    321,706,620x = 482,235,155,413,593,152
  5. Step 5: Solve for x
    x = 482,235,155,413,593,152/321,706,620
  6. Step 6: Final answer
    x = 1,498,990,463.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.