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Finding the Third Proportional to 523,344 and 1,129,584

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Solution

The third proportional to 523,344 and 1,129,584 is: 2,438,090.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,344 : 1,129,584 = 1,129,584 : x
  2. Step 2: Convert to fraction form
    523,344/1,129,584 = 1,129,584/x
  3. Step 3: Cross multiply
    523,344x = 1,129,584 × 1,129,584
  4. Step 4: Simplify right side
    523,344x = 1,275,960,013,056
  5. Step 5: Solve for x
    x = 1,275,960,013,056/523,344
  6. Step 6: Final answer
    x = 2,438,090.46

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