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Finding the Third Proportional to 763,269 and 1,036,581

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Solution

The third proportional to 763,269 and 1,036,581 is: 1,407,760.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,269 : 1,036,581 = 1,036,581 : x
  2. Step 2: Convert to fraction form
    763,269/1,036,581 = 1,036,581/x
  3. Step 3: Cross multiply
    763,269x = 1,036,581 × 1,036,581
  4. Step 4: Simplify right side
    763,269x = 1,074,500,169,561
  5. Step 5: Solve for x
    x = 1,074,500,169,561/763,269
  6. Step 6: Final answer
    x = 1,407,760.79

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.