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Finding the Third Proportional to 3,965,472 and 6,302,511

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Solution

The third proportional to 3,965,472 and 6,302,511 is: 10,016,876.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,965,472 : 6,302,511 = 6,302,511 : x
  2. Step 2: Convert to fraction form
    3,965,472/6,302,511 = 6,302,511/x
  3. Step 3: Cross multiply
    3,965,472x = 6,302,511 × 6,302,511
  4. Step 4: Simplify right side
    3,965,472x = 39,721,644,905,121
  5. Step 5: Solve for x
    x = 39,721,644,905,121/3,965,472
  6. Step 6: Final answer
    x = 10,016,876.91

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.