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Finding the Third Proportional to 714,602 and 1,569,165

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Solution

The third proportional to 714,602 and 1,569,165 is: 3,445,664.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,602 : 1,569,165 = 1,569,165 : x
  2. Step 2: Convert to fraction form
    714,602/1,569,165 = 1,569,165/x
  3. Step 3: Cross multiply
    714,602x = 1,569,165 × 1,569,165
  4. Step 4: Simplify right side
    714,602x = 2,462,278,797,225
  5. Step 5: Solve for x
    x = 2,462,278,797,225/714,602
  6. Step 6: Final answer
    x = 3,445,664.58

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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.