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Finding the Third Proportional to 1,597,518 and 2,412,909

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Solution

The third proportional to 1,597,518 and 2,412,909 is: 3,644,484.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597,518 : 2,412,909 = 2,412,909 : x
  2. Step 2: Convert to fraction form
    1,597,518/2,412,909 = 2,412,909/x
  3. Step 3: Cross multiply
    1,597,518x = 2,412,909 × 2,412,909
  4. Step 4: Simplify right side
    1,597,518x = 5,822,129,842,281
  5. Step 5: Solve for x
    x = 5,822,129,842,281/1,597,518
  6. Step 6: Final answer
    x = 3,644,484.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.