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Finding the Third Proportional to 847,087 and 1,242,374

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Solution

The third proportional to 847,087 and 1,242,374 is: 1,822,118.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    847,087 : 1,242,374 = 1,242,374 : x
  2. Step 2: Convert to fraction form
    847,087/1,242,374 = 1,242,374/x
  3. Step 3: Cross multiply
    847,087x = 1,242,374 × 1,242,374
  4. Step 4: Simplify right side
    847,087x = 1,543,493,155,876
  5. Step 5: Solve for x
    x = 1,543,493,155,876/847,087
  6. Step 6: Final answer
    x = 1,822,118.81

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.