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Finding the Third Proportional to 307,988,250 and 684,837,822

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Solution

The third proportional to 307,988,250 and 684,837,822 is: 1,522,794,595.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,988,250 : 684,837,822 = 684,837,822 : x
  2. Step 2: Convert to fraction form
    307,988,250/684,837,822 = 684,837,822/x
  3. Step 3: Cross multiply
    307,988,250x = 684,837,822 × 684,837,822
  4. Step 4: Simplify right side
    307,988,250x = 469,002,842,441,703,680
  5. Step 5: Solve for x
    x = 469,002,842,441,703,680/307,988,250
  6. Step 6: Final answer
    x = 1,522,794,595.06

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.