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Finding the Third Proportional to 714,620 and 1,569,220

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Solution

The third proportional to 714,620 and 1,569,220 is: 3,445,819.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,620 : 1,569,220 = 1,569,220 : x
  2. Step 2: Convert to fraction form
    714,620/1,569,220 = 1,569,220/x
  3. Step 3: Cross multiply
    714,620x = 1,569,220 × 1,569,220
  4. Step 4: Simplify right side
    714,620x = 2,462,451,408,400
  5. Step 5: Solve for x
    x = 2,462,451,408,400/714,620
  6. Step 6: Final answer
    x = 3,445,819.33

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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.