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Finding the Third Proportional to 1,326,468.66 and 2,000,706.33

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Solution

The third proportional to 1,326,468.66 and 2,000,706.33 is: 3,017,655.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,326,468.66 : 2,000,706.33 = 2,000,706.33 : x
  2. Step 2: Convert to fraction form
    1,326,468.66/2,000,706.33 = 2,000,706.33/x
  3. Step 3: Cross multiply
    1,326,468.66x = 2,000,706.33 × 2,000,706.33
  4. Step 4: Simplify right side
    1,326,468.66x = 4,002,825,811,399.42
  5. Step 5: Solve for x
    x = 4,002,825,811,399.42/1,326,468.66
  6. Step 6: Final answer
    x = 3,017,655.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.