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Finding the Third Proportional to 1,997,651 and 4,331,432

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Solution

The third proportional to 1,997,651 and 4,331,432 is: 9,391,682.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,997,651 : 4,331,432 = 4,331,432 : x
  2. Step 2: Convert to fraction form
    1,997,651/4,331,432 = 4,331,432/x
  3. Step 3: Cross multiply
    1,997,651x = 4,331,432 × 4,331,432
  4. Step 4: Simplify right side
    1,997,651x = 18,761,303,170,624
  5. Step 5: Solve for x
    x = 18,761,303,170,624/1,997,651
  6. Step 6: Final answer
    x = 9,391,682.12

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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.