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Finding the Third Proportional to 1,007,082 and 1,536,921

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Solution

The third proportional to 1,007,082 and 1,536,921 is: 2,345,515.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007,082 : 1,536,921 = 1,536,921 : x
  2. Step 2: Convert to fraction form
    1,007,082/1,536,921 = 1,536,921/x
  3. Step 3: Cross multiply
    1,007,082x = 1,536,921 × 1,536,921
  4. Step 4: Simplify right side
    1,007,082x = 2,362,126,160,241
  5. Step 5: Solve for x
    x = 2,362,126,160,241/1,007,082
  6. Step 6: Final answer
    x = 2,345,515.22

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