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Finding the Third Proportional to 2,411,031 and 3,647,543

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Solution

The third proportional to 2,411,031 and 3,647,543 is: 5,518,207.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,411,031 : 3,647,543 = 3,647,543 : x
  2. Step 2: Convert to fraction form
    2,411,031/3,647,543 = 3,647,543/x
  3. Step 3: Cross multiply
    2,411,031x = 3,647,543 × 3,647,543
  4. Step 4: Simplify right side
    2,411,031x = 13,304,569,936,849
  5. Step 5: Solve for x
    x = 13,304,569,936,849/2,411,031
  6. Step 6: Final answer
    x = 5,518,207.74

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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.