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Finding the Third Proportional to 913,266 and 1,432,593

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Solution

The third proportional to 913,266 and 1,432,593 is: 2,247,234.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    913,266 : 1,432,593 = 1,432,593 : x
  2. Step 2: Convert to fraction form
    913,266/1,432,593 = 1,432,593/x
  3. Step 3: Cross multiply
    913,266x = 1,432,593 × 1,432,593
  4. Step 4: Simplify right side
    913,266x = 2,052,322,703,649
  5. Step 5: Solve for x
    x = 2,052,322,703,649/913,266
  6. Step 6: Final answer
    x = 2,247,234.33

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.