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Finding the Third Proportional to 1,342,829 and 2,082,315

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Solution

The third proportional to 1,342,829 and 2,082,315 is: 3,229,030.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342,829 : 2,082,315 = 2,082,315 : x
  2. Step 2: Convert to fraction form
    1,342,829/2,082,315 = 2,082,315/x
  3. Step 3: Cross multiply
    1,342,829x = 2,082,315 × 2,082,315
  4. Step 4: Simplify right side
    1,342,829x = 4,336,035,759,225
  5. Step 5: Solve for x
    x = 4,336,035,759,225/1,342,829
  6. Step 6: Final answer
    x = 3,229,030.47

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.