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Finding the Third Proportional to 681,504 and 1,031,808

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Solution

The third proportional to 681,504 and 1,031,808 is: 1,562,173.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,504 : 1,031,808 = 1,031,808 : x
  2. Step 2: Convert to fraction form
    681,504/1,031,808 = 1,031,808/x
  3. Step 3: Cross multiply
    681,504x = 1,031,808 × 1,031,808
  4. Step 4: Simplify right side
    681,504x = 1,064,627,748,864
  5. Step 5: Solve for x
    x = 1,064,627,748,864/681,504
  6. Step 6: Final answer
    x = 1,562,173.88

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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.