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Finding the Third Proportional to 1,687,874 and 2,411,931

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Solution

The third proportional to 1,687,874 and 2,411,931 is: 3,446,590.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687,874 : 2,411,931 = 2,411,931 : x
  2. Step 2: Convert to fraction form
    1,687,874/2,411,931 = 2,411,931/x
  3. Step 3: Cross multiply
    1,687,874x = 2,411,931 × 2,411,931
  4. Step 4: Simplify right side
    1,687,874x = 5,817,411,148,761
  5. Step 5: Solve for x
    x = 5,817,411,148,761/1,687,874
  6. Step 6: Final answer
    x = 3,446,590.89

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.