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Finding the Third Proportional to 3,899,742 and 6,026,643

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Solution

The third proportional to 3,899,742 and 6,026,643 is: 9,313,545.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,899,742 : 6,026,643 = 6,026,643 : x
  2. Step 2: Convert to fraction form
    3,899,742/6,026,643 = 6,026,643/x
  3. Step 3: Cross multiply
    3,899,742x = 6,026,643 × 6,026,643
  4. Step 4: Simplify right side
    3,899,742x = 36,320,425,849,449
  5. Step 5: Solve for x
    x = 36,320,425,849,449/3,899,742
  6. Step 6: Final answer
    x = 9,313,545.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.