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Finding the Third Proportional to 501,750 and 1,072,188

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Solution

The third proportional to 501,750 and 1,072,188 is: 2,291,155.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,750 : 1,072,188 = 1,072,188 : x
  2. Step 2: Convert to fraction form
    501,750/1,072,188 = 1,072,188/x
  3. Step 3: Cross multiply
    501,750x = 1,072,188 × 1,072,188
  4. Step 4: Simplify right side
    501,750x = 1,149,587,107,344
  5. Step 5: Solve for x
    x = 1,149,587,107,344/501,750
  6. Step 6: Final answer
    x = 2,291,155.17

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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.