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Finding the Third Proportional to 500,061.75 and 1,078,311

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Solution

The third proportional to 500,061.75 and 1,078,311 is: 2,325,222.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,061.75 : 1,078,311 = 1,078,311 : x
  2. Step 2: Convert to fraction form
    500,061.75/1,078,311 = 1,078,311/x
  3. Step 3: Cross multiply
    500,061.75x = 1,078,311 × 1,078,311
  4. Step 4: Simplify right side
    500,061.75x = 1,162,754,612,721
  5. Step 5: Solve for x
    x = 1,162,754,612,721/500,061.75
  6. Step 6: Final answer
    x = 2,325,222.06

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Why These Related Problems?

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