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Finding the Third Proportional to 531,901 and 1,138,538

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Solution

The third proportional to 531,901 and 1,138,538 is: 2,437,048.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,901 : 1,138,538 = 1,138,538 : x
  2. Step 2: Convert to fraction form
    531,901/1,138,538 = 1,138,538/x
  3. Step 3: Cross multiply
    531,901x = 1,138,538 × 1,138,538
  4. Step 4: Simplify right side
    531,901x = 1,296,268,777,444
  5. Step 5: Solve for x
    x = 1,296,268,777,444/531,901
  6. Step 6: Final answer
    x = 2,437,048.96

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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.