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Finding the Third Proportional to 610,480.55 and 1,302,016.78

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Solution

The third proportional to 610,480.55 and 1,302,016.78 is: 2,776,906.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,480.55 : 1,302,016.78 = 1,302,016.78 : x
  2. Step 2: Convert to fraction form
    610,480.55/1,302,016.78 = 1,302,016.78/x
  3. Step 3: Cross multiply
    610,480.55x = 1,302,016.78 × 1,302,016.78
  4. Step 4: Simplify right side
    610,480.55x = 1,695,247,698,656.61
  5. Step 5: Solve for x
    x = 1,695,247,698,656.61/610,480.55
  6. Step 6: Final answer
    x = 2,776,906.99

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.