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Finding the Third Proportional to 474,499.13 and 1,024,768.13

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Solution

The third proportional to 474,499.13 and 1,024,768.13 is: 2,213,175.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,499.13 : 1,024,768.13 = 1,024,768.13 : x
  2. Step 2: Convert to fraction form
    474,499.13/1,024,768.13 = 1,024,768.13/x
  3. Step 3: Cross multiply
    474,499.13x = 1,024,768.13 × 1,024,768.13
  4. Step 4: Simplify right side
    474,499.13x = 1,050,149,710,016.02
  5. Step 5: Solve for x
    x = 1,050,149,710,016.02/474,499.13
  6. Step 6: Final answer
    x = 2,213,175.23

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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.