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Finding the Third Proportional to 592,834.50 and 1,275,582

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Solution

The third proportional to 592,834.50 and 1,275,582 is: 2,744,626.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,834.50 : 1,275,582 = 1,275,582 : x
  2. Step 2: Convert to fraction form
    592,834.50/1,275,582 = 1,275,582/x
  3. Step 3: Cross multiply
    592,834.50x = 1,275,582 × 1,275,582
  4. Step 4: Simplify right side
    592,834.50x = 1,627,109,438,724
  5. Step 5: Solve for x
    x = 1,627,109,438,724/592,834.50
  6. Step 6: Final answer
    x = 2,744,626.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.