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Finding the Third Proportional to 591,130.13 and 917,191.13

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Solution

The third proportional to 591,130.13 and 917,191.13 is: 1,423,103.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,130.13 : 917,191.13 = 917,191.13 : x
  2. Step 2: Convert to fraction form
    591,130.13/917,191.13 = 917,191.13/x
  3. Step 3: Cross multiply
    591,130.13x = 917,191.13 × 917,191.13
  4. Step 4: Simplify right side
    591,130.13x = 841,239,559,778.77
  5. Step 5: Solve for x
    x = 841,239,559,778.77/591,130.13
  6. Step 6: Final answer
    x = 1,423,103.86

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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.