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Finding the Third Proportional to 597,626 and 885,746

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Solution

The third proportional to 597,626 and 885,746 is: 1,312,770.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,626 : 885,746 = 885,746 : x
  2. Step 2: Convert to fraction form
    597,626/885,746 = 885,746/x
  3. Step 3: Cross multiply
    597,626x = 885,746 × 885,746
  4. Step 4: Simplify right side
    597,626x = 784,545,976,516
  5. Step 5: Solve for x
    x = 784,545,976,516/597,626
  6. Step 6: Final answer
    x = 1,312,770.82

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.