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Finding the Third Proportional to 467,981 and 1,010,683

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Solution

The third proportional to 467,981 and 1,010,683 is: 2,182,738.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,981 : 1,010,683 = 1,010,683 : x
  2. Step 2: Convert to fraction form
    467,981/1,010,683 = 1,010,683/x
  3. Step 3: Cross multiply
    467,981x = 1,010,683 × 1,010,683
  4. Step 4: Simplify right side
    467,981x = 1,021,480,126,489
  5. Step 5: Solve for x
    x = 1,021,480,126,489/467,981
  6. Step 6: Final answer
    x = 2,182,738.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.