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Finding the Third Proportional to 565,066.13 and 1,240,234.03

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Solution

The third proportional to 565,066.13 and 1,240,234.03 is: 2,722,124.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,066.13 : 1,240,234.03 = 1,240,234.03 : x
  2. Step 2: Convert to fraction form
    565,066.13/1,240,234.03 = 1,240,234.03/x
  3. Step 3: Cross multiply
    565,066.13x = 1,240,234.03 × 1,240,234.03
  4. Step 4: Simplify right side
    565,066.13x = 1,538,180,452,270.63
  5. Step 5: Solve for x
    x = 1,538,180,452,270.63/565,066.13
  6. Step 6: Final answer
    x = 2,722,124.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.