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Finding the Third Proportional to 3,897,480 and 6,122,511

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Solution

The third proportional to 3,897,480 and 6,122,511 is: 9,617,789.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897,480 : 6,122,511 = 6,122,511 : x
  2. Step 2: Convert to fraction form
    3,897,480/6,122,511 = 6,122,511/x
  3. Step 3: Cross multiply
    3,897,480x = 6,122,511 × 6,122,511
  4. Step 4: Simplify right side
    3,897,480x = 37,485,140,945,121
  5. Step 5: Solve for x
    x = 37,485,140,945,121/3,897,480
  6. Step 6: Final answer
    x = 9,617,789.17

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.