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Finding the Third Proportional to 677,566.13 and 1,473,225.75

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Solution

The third proportional to 677,566.13 and 1,473,225.75 is: 3,203,221.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,566.13 : 1,473,225.75 = 1,473,225.75 : x
  2. Step 2: Convert to fraction form
    677,566.13/1,473,225.75 = 1,473,225.75/x
  3. Step 3: Cross multiply
    677,566.13x = 1,473,225.75 × 1,473,225.75
  4. Step 4: Simplify right side
    677,566.13x = 2,170,394,110,463.06
  5. Step 5: Solve for x
    x = 2,170,394,110,463.06/677,566.13
  6. Step 6: Final answer
    x = 3,203,221.10

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.