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Finding the Third Proportional to 619,777.13 and 948,002.06

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Solution

The third proportional to 619,777.13 and 948,002.06 is: 1,450,050.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,777.13 : 948,002.06 = 948,002.06 : x
  2. Step 2: Convert to fraction form
    619,777.13/948,002.06 = 948,002.06/x
  3. Step 3: Cross multiply
    619,777.13x = 948,002.06 × 948,002.06
  4. Step 4: Simplify right side
    619,777.13x = 898,707,910,504.25
  5. Step 5: Solve for x
    x = 898,707,910,504.25/619,777.13
  6. Step 6: Final answer
    x = 1,450,050.15

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.