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Finding the Third Proportional to 714,598 and 1,569,157

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Solution

The third proportional to 714,598 and 1,569,157 is: 3,445,648.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,598 : 1,569,157 = 1,569,157 : x
  2. Step 2: Convert to fraction form
    714,598/1,569,157 = 1,569,157/x
  3. Step 3: Cross multiply
    714,598x = 1,569,157 × 1,569,157
  4. Step 4: Simplify right side
    714,598x = 2,462,253,690,649
  5. Step 5: Solve for x
    x = 2,462,253,690,649/714,598
  6. Step 6: Final answer
    x = 3,445,648.73

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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.