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Finding the Third Proportional to 948,287 and 1,416,814

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Solution

The third proportional to 948,287 and 1,416,814 is: 2,116,829.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    948,287 : 1,416,814 = 1,416,814 : x
  2. Step 2: Convert to fraction form
    948,287/1,416,814 = 1,416,814/x
  3. Step 3: Cross multiply
    948,287x = 1,416,814 × 1,416,814
  4. Step 4: Simplify right side
    948,287x = 2,007,361,910,596
  5. Step 5: Solve for x
    x = 2,007,361,910,596/948,287
  6. Step 6: Final answer
    x = 2,116,829.52

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