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Finding the Third Proportional to 591,352 and 926,590

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Solution

The third proportional to 591,352 and 926,590 is: 1,451,874.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,352 : 926,590 = 926,590 : x
  2. Step 2: Convert to fraction form
    591,352/926,590 = 926,590/x
  3. Step 3: Cross multiply
    591,352x = 926,590 × 926,590
  4. Step 4: Simplify right side
    591,352x = 858,569,028,100
  5. Step 5: Solve for x
    x = 858,569,028,100/591,352
  6. Step 6: Final answer
    x = 1,451,874.73

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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.