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Finding the Third Proportional to 1,152,960 and 1,832,082

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Solution

The third proportional to 1,152,960 and 1,832,082 is: 2,911,223.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152,960 : 1,832,082 = 1,832,082 : x
  2. Step 2: Convert to fraction form
    1,152,960/1,832,082 = 1,832,082/x
  3. Step 3: Cross multiply
    1,152,960x = 1,832,082 × 1,832,082
  4. Step 4: Simplify right side
    1,152,960x = 3,356,524,454,724
  5. Step 5: Solve for x
    x = 3,356,524,454,724/1,152,960
  6. Step 6: Final answer
    x = 2,911,223.68

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.