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Finding the Third Proportional to 425,218 and 925,166

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Solution

The third proportional to 425,218 and 925,166 is: 2,012,925.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,218 : 925,166 = 925,166 : x
  2. Step 2: Convert to fraction form
    425,218/925,166 = 925,166/x
  3. Step 3: Cross multiply
    425,218x = 925,166 × 925,166
  4. Step 4: Simplify right side
    425,218x = 855,932,127,556
  5. Step 5: Solve for x
    x = 855,932,127,556/425,218
  6. Step 6: Final answer
    x = 2,012,925.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.