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Finding the Third Proportional to 3,434,948 and 4,541,681

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Solution

The third proportional to 3,434,948 and 4,541,681 is: 6,005,001.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,434,948 : 4,541,681 = 4,541,681 : x
  2. Step 2: Convert to fraction form
    3,434,948/4,541,681 = 4,541,681/x
  3. Step 3: Cross multiply
    3,434,948x = 4,541,681 × 4,541,681
  4. Step 4: Simplify right side
    3,434,948x = 20,626,866,305,761
  5. Step 5: Solve for x
    x = 20,626,866,305,761/3,434,948
  6. Step 6: Final answer
    x = 6,005,001.04

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.