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Finding the Third Proportional to 1,561,548 and 3,761,829

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Solution

The third proportional to 1,561,548 and 3,761,829 is: 9,062,390.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561,548 : 3,761,829 = 3,761,829 : x
  2. Step 2: Convert to fraction form
    1,561,548/3,761,829 = 3,761,829/x
  3. Step 3: Cross multiply
    1,561,548x = 3,761,829 × 3,761,829
  4. Step 4: Simplify right side
    1,561,548x = 14,151,357,425,241
  5. Step 5: Solve for x
    x = 14,151,357,425,241/1,561,548
  6. Step 6: Final answer
    x = 9,062,390.29

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.