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Finding the Third Proportional to 591,569 and 887,065

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Solution

The third proportional to 591,569 and 887,065 is: 1,330,164.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,569 : 887,065 = 887,065 : x
  2. Step 2: Convert to fraction form
    591,569/887,065 = 887,065/x
  3. Step 3: Cross multiply
    591,569x = 887,065 × 887,065
  4. Step 4: Simplify right side
    591,569x = 786,884,314,225
  5. Step 5: Solve for x
    x = 786,884,314,225/591,569
  6. Step 6: Final answer
    x = 1,330,164.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.