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Finding the Third Proportional to 500,754.66 and 1,061,105.06

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Solution

The third proportional to 500,754.66 and 1,061,105.06 is: 2,248,494.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,754.66 : 1,061,105.06 = 1,061,105.06 : x
  2. Step 2: Convert to fraction form
    500,754.66/1,061,105.06 = 1,061,105.06/x
  3. Step 3: Cross multiply
    500,754.66x = 1,061,105.06 × 1,061,105.06
  4. Step 4: Simplify right side
    500,754.66x = 1,125,943,953,663.13
  5. Step 5: Solve for x
    x = 1,125,943,953,663.13/500,754.66
  6. Step 6: Final answer
    x = 2,248,494.23

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.