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Finding the Third Proportional to 527,808 and 1,138,560

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Solution

The third proportional to 527,808 and 1,138,560 is: 2,456,042.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,808 : 1,138,560 = 1,138,560 : x
  2. Step 2: Convert to fraction form
    527,808/1,138,560 = 1,138,560/x
  3. Step 3: Cross multiply
    527,808x = 1,138,560 × 1,138,560
  4. Step 4: Simplify right side
    527,808x = 1,296,318,873,600
  5. Step 5: Solve for x
    x = 1,296,318,873,600/527,808
  6. Step 6: Final answer
    x = 2,456,042.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.