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Finding the Third Proportional to 591,912 and 927,534

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Solution

The third proportional to 591,912 and 927,534 is: 1,453,458.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,912 : 927,534 = 927,534 : x
  2. Step 2: Convert to fraction form
    591,912/927,534 = 927,534/x
  3. Step 3: Cross multiply
    591,912x = 927,534 × 927,534
  4. Step 4: Simplify right side
    591,912x = 860,319,321,156
  5. Step 5: Solve for x
    x = 860,319,321,156/591,912
  6. Step 6: Final answer
    x = 1,453,458.15

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.