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Finding the Third Proportional to 591,349 and 926,585

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Solution

The third proportional to 591,349 and 926,585 is: 1,451,866.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,349 : 926,585 = 926,585 : x
  2. Step 2: Convert to fraction form
    591,349/926,585 = 926,585/x
  3. Step 3: Cross multiply
    591,349x = 926,585 × 926,585
  4. Step 4: Simplify right side
    591,349x = 858,559,762,225
  5. Step 5: Solve for x
    x = 858,559,762,225/591,349
  6. Step 6: Final answer
    x = 1,451,866.43

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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.