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Finding the Third Proportional to 681,222 and 1,031,265

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Solution

The third proportional to 681,222 and 1,031,265 is: 1,561,176.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,222 : 1,031,265 = 1,031,265 : x
  2. Step 2: Convert to fraction form
    681,222/1,031,265 = 1,031,265/x
  3. Step 3: Cross multiply
    681,222x = 1,031,265 × 1,031,265
  4. Step 4: Simplify right side
    681,222x = 1,063,507,500,225
  5. Step 5: Solve for x
    x = 1,063,507,500,225/681,222
  6. Step 6: Final answer
    x = 1,561,176.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.