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Finding the Third Proportional to 824,418 and 1,311,429

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Solution

The third proportional to 824,418 and 1,311,429 is: 2,086,133.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,418 : 1,311,429 = 1,311,429 : x
  2. Step 2: Convert to fraction form
    824,418/1,311,429 = 1,311,429/x
  3. Step 3: Cross multiply
    824,418x = 1,311,429 × 1,311,429
  4. Step 4: Simplify right side
    824,418x = 1,719,846,022,041
  5. Step 5: Solve for x
    x = 1,719,846,022,041/824,418
  6. Step 6: Final answer
    x = 2,086,133.52

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.