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Finding the Third Proportional to 659,376 and 1,412,064

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Solution

The third proportional to 659,376 and 1,412,064 is: 3,023,957.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,376 : 1,412,064 = 1,412,064 : x
  2. Step 2: Convert to fraction form
    659,376/1,412,064 = 1,412,064/x
  3. Step 3: Cross multiply
    659,376x = 1,412,064 × 1,412,064
  4. Step 4: Simplify right side
    659,376x = 1,993,924,740,096
  5. Step 5: Solve for x
    x = 1,993,924,740,096/659,376
  6. Step 6: Final answer
    x = 3,023,957.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.