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Finding the Third Proportional to 591,132 and 917,193.75

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Solution

The third proportional to 591,132 and 917,193.75 is: 1,423,107.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,132 : 917,193.75 = 917,193.75 : x
  2. Step 2: Convert to fraction form
    591,132/917,193.75 = 917,193.75/x
  3. Step 3: Cross multiply
    591,132x = 917,193.75 × 917,193.75
  4. Step 4: Simplify right side
    591,132x = 841,244,375,039.06
  5. Step 5: Solve for x
    x = 841,244,375,039.06/591,132
  6. Step 6: Final answer
    x = 1,423,107.49

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.