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Finding the Third Proportional to 631,098 and 1,358,424

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Solution

The third proportional to 631,098 and 1,358,424 is: 2,923,976.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,098 : 1,358,424 = 1,358,424 : x
  2. Step 2: Convert to fraction form
    631,098/1,358,424 = 1,358,424/x
  3. Step 3: Cross multiply
    631,098x = 1,358,424 × 1,358,424
  4. Step 4: Simplify right side
    631,098x = 1,845,315,763,776
  5. Step 5: Solve for x
    x = 1,845,315,763,776/631,098
  6. Step 6: Final answer
    x = 2,923,976.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.