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Finding the Third Proportional to 484,967 and 1,053,876

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Solution

The third proportional to 484,967 and 1,053,876 is: 2,290,165.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,967 : 1,053,876 = 1,053,876 : x
  2. Step 2: Convert to fraction form
    484,967/1,053,876 = 1,053,876/x
  3. Step 3: Cross multiply
    484,967x = 1,053,876 × 1,053,876
  4. Step 4: Simplify right side
    484,967x = 1,110,654,623,376
  5. Step 5: Solve for x
    x = 1,110,654,623,376/484,967
  6. Step 6: Final answer
    x = 2,290,165.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.