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Finding the Third Proportional to 497,259 and 1,073,142

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Solution

The third proportional to 497,259 and 1,073,142 is: 2,315,963.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,259 : 1,073,142 = 1,073,142 : x
  2. Step 2: Convert to fraction form
    497,259/1,073,142 = 1,073,142/x
  3. Step 3: Cross multiply
    497,259x = 1,073,142 × 1,073,142
  4. Step 4: Simplify right side
    497,259x = 1,151,633,752,164
  5. Step 5: Solve for x
    x = 1,151,633,752,164/497,259
  6. Step 6: Final answer
    x = 2,315,963.62

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.