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Finding the Third Proportional to 656,082.70 and 984,123.42

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Solution

The third proportional to 656,082.70 and 984,123.42 is: 1,476,184.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,082.70 : 984,123.42 = 984,123.42 : x
  2. Step 2: Convert to fraction form
    656,082.70/984,123.42 = 984,123.42/x
  3. Step 3: Cross multiply
    656,082.70x = 984,123.42 × 984,123.42
  4. Step 4: Simplify right side
    656,082.70x = 968,498,909,482.96
  5. Step 5: Solve for x
    x = 968,498,909,482.96/656,082.70
  6. Step 6: Final answer
    x = 1,476,184.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.