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Finding the Third Proportional to 681,552 and 1,031,880

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Solution

The third proportional to 681,552 and 1,031,880 is: 1,562,281.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,552 : 1,031,880 = 1,031,880 : x
  2. Step 2: Convert to fraction form
    681,552/1,031,880 = 1,031,880/x
  3. Step 3: Cross multiply
    681,552x = 1,031,880 × 1,031,880
  4. Step 4: Simplify right side
    681,552x = 1,064,776,334,400
  5. Step 5: Solve for x
    x = 1,064,776,334,400/681,552
  6. Step 6: Final answer
    x = 1,562,281.87

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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.