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Finding the Third Proportional to 531,908 and 1,138,552

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Solution

The third proportional to 531,908 and 1,138,552 is: 2,437,076.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,908 : 1,138,552 = 1,138,552 : x
  2. Step 2: Convert to fraction form
    531,908/1,138,552 = 1,138,552/x
  3. Step 3: Cross multiply
    531,908x = 1,138,552 × 1,138,552
  4. Step 4: Simplify right side
    531,908x = 1,296,300,656,704
  5. Step 5: Solve for x
    x = 1,296,300,656,704/531,908
  6. Step 6: Final answer
    x = 2,437,076.82

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.