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Finding the Third Proportional to 616,810 and 925,216

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Solution

The third proportional to 616,810 and 925,216 is: 1,387,825.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,810 : 925,216 = 925,216 : x
  2. Step 2: Convert to fraction form
    616,810/925,216 = 925,216/x
  3. Step 3: Cross multiply
    616,810x = 925,216 × 925,216
  4. Step 4: Simplify right side
    616,810x = 856,024,646,656
  5. Step 5: Solve for x
    x = 856,024,646,656/616,810
  6. Step 6: Final answer
    x = 1,387,825.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.