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Finding the Third Proportional to 474,670.13 and 966,964.50

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Solution

The third proportional to 474,670.13 and 966,964.50 is: 1,969,831.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,670.13 : 966,964.50 = 966,964.50 : x
  2. Step 2: Convert to fraction form
    474,670.13/966,964.50 = 966,964.50/x
  3. Step 3: Cross multiply
    474,670.13x = 966,964.50 × 966,964.50
  4. Step 4: Simplify right side
    474,670.13x = 935,020,344,260.25
  5. Step 5: Solve for x
    x = 935,020,344,260.25/474,670.13
  6. Step 6: Final answer
    x = 1,969,831.88

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.