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Finding the Third Proportional to 1,947,781 and 2,910,767

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Solution

The third proportional to 1,947,781 and 2,910,767 is: 4,349,854.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,947,781 : 2,910,767 = 2,910,767 : x
  2. Step 2: Convert to fraction form
    1,947,781/2,910,767 = 2,910,767/x
  3. Step 3: Cross multiply
    1,947,781x = 2,910,767 × 2,910,767
  4. Step 4: Simplify right side
    1,947,781x = 8,472,564,528,289
  5. Step 5: Solve for x
    x = 8,472,564,528,289/1,947,781
  6. Step 6: Final answer
    x = 4,349,854.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.