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Finding the Third Proportional to 1,641,376 and 2,565,744

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Solution

The third proportional to 1,641,376 and 2,565,744 is: 4,010,685.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641,376 : 2,565,744 = 2,565,744 : x
  2. Step 2: Convert to fraction form
    1,641,376/2,565,744 = 2,565,744/x
  3. Step 3: Cross multiply
    1,641,376x = 2,565,744 × 2,565,744
  4. Step 4: Simplify right side
    1,641,376x = 6,583,042,273,536
  5. Step 5: Solve for x
    x = 6,583,042,273,536/1,641,376
  6. Step 6: Final answer
    x = 4,010,685.10

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.