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Finding the Third Proportional to 516,223.13 and 1,107,199.13

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Solution

The third proportional to 516,223.13 and 1,107,199.13 is: 2,374,728.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,223.13 : 1,107,199.13 = 1,107,199.13 : x
  2. Step 2: Convert to fraction form
    516,223.13/1,107,199.13 = 1,107,199.13/x
  3. Step 3: Cross multiply
    516,223.13x = 1,107,199.13 × 1,107,199.13
  4. Step 4: Simplify right side
    516,223.13x = 1,225,889,902,400.77
  5. Step 5: Solve for x
    x = 1,225,889,902,400.77/516,223.13
  6. Step 6: Final answer
    x = 2,374,728.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.