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Finding the Third Proportional to 531,906 and 1,138,548

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Solution

The third proportional to 531,906 and 1,138,548 is: 2,437,068.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,906 : 1,138,548 = 1,138,548 : x
  2. Step 2: Convert to fraction form
    531,906/1,138,548 = 1,138,548/x
  3. Step 3: Cross multiply
    531,906x = 1,138,548 × 1,138,548
  4. Step 4: Simplify right side
    531,906x = 1,296,291,548,304
  5. Step 5: Solve for x
    x = 1,296,291,548,304/531,906
  6. Step 6: Final answer
    x = 2,437,068.86

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Why These Related Problems?

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