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Finding the Third Proportional to 440,065.13 and 964,207.13

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Solution

The third proportional to 440,065.13 and 964,207.13 is: 2,112,631.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,065.13 : 964,207.13 = 964,207.13 : x
  2. Step 2: Convert to fraction form
    440,065.13/964,207.13 = 964,207.13/x
  3. Step 3: Cross multiply
    440,065.13x = 964,207.13 × 964,207.13
  4. Step 4: Simplify right side
    440,065.13x = 929,695,379,900.77
  5. Step 5: Solve for x
    x = 929,695,379,900.77/440,065.13
  6. Step 6: Final answer
    x = 2,112,631.35

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.