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Finding the Third Proportional to 1,355,463.28 and 1,807,082.16

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Solution

The third proportional to 1,355,463.28 and 1,807,082.16 is: 2,409,173.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,355,463.28 : 1,807,082.16 = 1,807,082.16 : x
  2. Step 2: Convert to fraction form
    1,355,463.28/1,807,082.16 = 1,807,082.16/x
  3. Step 3: Cross multiply
    1,355,463.28x = 1,807,082.16 × 1,807,082.16
  4. Step 4: Simplify right side
    1,355,463.28x = 3,265,545,919,437.15
  5. Step 5: Solve for x
    x = 3,265,545,919,437.15/1,355,463.28
  6. Step 6: Final answer
    x = 2,409,173.28

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.