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Finding the Third Proportional to 566,655.12 and 1,224,651.66

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Solution

The third proportional to 566,655.12 and 1,224,651.66 is: 2,646,709.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,655.12 : 1,224,651.66 = 1,224,651.66 : x
  2. Step 2: Convert to fraction form
    566,655.12/1,224,651.66 = 1,224,651.66/x
  3. Step 3: Cross multiply
    566,655.12x = 1,224,651.66 × 1,224,651.66
  4. Step 4: Simplify right side
    566,655.12x = 1,499,771,679,155.87
  5. Step 5: Solve for x
    x = 1,499,771,679,155.87/566,655.12
  6. Step 6: Final answer
    x = 2,646,709.85

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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.