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Finding the Third Proportional to 596,856 and 925,540

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Solution

The third proportional to 596,856 and 925,540 is: 1,435,227.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,856 : 925,540 = 925,540 : x
  2. Step 2: Convert to fraction form
    596,856/925,540 = 925,540/x
  3. Step 3: Cross multiply
    596,856x = 925,540 × 925,540
  4. Step 4: Simplify right side
    596,856x = 856,624,291,600
  5. Step 5: Solve for x
    x = 856,624,291,600/596,856
  6. Step 6: Final answer
    x = 1,435,227.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.