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Finding the Third Proportional to 714,612 and 1,569,204

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Solution

The third proportional to 714,612 and 1,569,204 is: 3,445,787.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,612 : 1,569,204 = 1,569,204 : x
  2. Step 2: Convert to fraction form
    714,612/1,569,204 = 1,569,204/x
  3. Step 3: Cross multiply
    714,612x = 1,569,204 × 1,569,204
  4. Step 4: Simplify right side
    714,612x = 2,462,401,193,616
  5. Step 5: Solve for x
    x = 2,462,401,193,616/714,612
  6. Step 6: Final answer
    x = 3,445,787.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.