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Finding the Third Proportional to 1,781,676 and 2,868,615

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Solution

The third proportional to 1,781,676 and 2,868,615 is: 4,618,657.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,781,676 : 2,868,615 = 2,868,615 : x
  2. Step 2: Convert to fraction form
    1,781,676/2,868,615 = 2,868,615/x
  3. Step 3: Cross multiply
    1,781,676x = 2,868,615 × 2,868,615
  4. Step 4: Simplify right side
    1,781,676x = 8,228,952,018,225
  5. Step 5: Solve for x
    x = 8,228,952,018,225/1,781,676
  6. Step 6: Final answer
    x = 4,618,657.95

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.