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Finding the Third Proportional to 1,666,940 and 2,489,424

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Solution

The third proportional to 1,666,940 and 2,489,424 is: 3,717,729.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,666,940 : 2,489,424 = 2,489,424 : x
  2. Step 2: Convert to fraction form
    1,666,940/2,489,424 = 2,489,424/x
  3. Step 3: Cross multiply
    1,666,940x = 2,489,424 × 2,489,424
  4. Step 4: Simplify right side
    1,666,940x = 6,197,231,851,776
  5. Step 5: Solve for x
    x = 6,197,231,851,776/1,666,940
  6. Step 6: Final answer
    x = 3,717,729.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.