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Finding the Third Proportional to 665,612 and 1,436,200

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Solution

The third proportional to 665,612 and 1,436,200 is: 3,098,908.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,612 : 1,436,200 = 1,436,200 : x
  2. Step 2: Convert to fraction form
    665,612/1,436,200 = 1,436,200/x
  3. Step 3: Cross multiply
    665,612x = 1,436,200 × 1,436,200
  4. Step 4: Simplify right side
    665,612x = 2,062,670,440,000
  5. Step 5: Solve for x
    x = 2,062,670,440,000/665,612
  6. Step 6: Final answer
    x = 3,098,908.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.