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Finding the Third Proportional to 591,138 and 917,202.75

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Solution

The third proportional to 591,138 and 917,202.75 is: 1,423,120.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,138 : 917,202.75 = 917,202.75 : x
  2. Step 2: Convert to fraction form
    591,138/917,202.75 = 917,202.75/x
  3. Step 3: Cross multiply
    591,138x = 917,202.75 × 917,202.75
  4. Step 4: Simplify right side
    591,138x = 841,260,884,607.56
  5. Step 5: Solve for x
    x = 841,260,884,607.56/591,138
  6. Step 6: Final answer
    x = 1,423,120.97

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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.