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Finding the Third Proportional to 959,049 and 1,432,009

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Solution

The third proportional to 959,049 and 1,432,009 is: 2,138,211.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    959,049 : 1,432,009 = 1,432,009 : x
  2. Step 2: Convert to fraction form
    959,049/1,432,009 = 1,432,009/x
  3. Step 3: Cross multiply
    959,049x = 1,432,009 × 1,432,009
  4. Step 4: Simplify right side
    959,049x = 2,050,649,776,081
  5. Step 5: Solve for x
    x = 2,050,649,776,081/959,049
  6. Step 6: Final answer
    x = 2,138,211.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.