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Finding the Third Proportional to 948,474 and 1,387,212

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Solution

The third proportional to 948,474 and 1,387,212 is: 2,028,898.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    948,474 : 1,387,212 = 1,387,212 : x
  2. Step 2: Convert to fraction form
    948,474/1,387,212 = 1,387,212/x
  3. Step 3: Cross multiply
    948,474x = 1,387,212 × 1,387,212
  4. Step 4: Simplify right side
    948,474x = 1,924,357,132,944
  5. Step 5: Solve for x
    x = 1,924,357,132,944/948,474
  6. Step 6: Final answer
    x = 2,028,898.14

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.