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Finding the Third Proportional to 892,334 and 1,359,407

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Solution

The third proportional to 892,334 and 1,359,407 is: 2,070,959.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    892,334 : 1,359,407 = 1,359,407 : x
  2. Step 2: Convert to fraction form
    892,334/1,359,407 = 1,359,407/x
  3. Step 3: Cross multiply
    892,334x = 1,359,407 × 1,359,407
  4. Step 4: Simplify right side
    892,334x = 1,847,987,391,649
  5. Step 5: Solve for x
    x = 1,847,987,391,649/892,334
  6. Step 6: Final answer
    x = 2,070,959.30

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.