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Finding the Third Proportional to 884,686 and 1,334,358

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Solution

The third proportional to 884,686 and 1,334,358 is: 2,012,591.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    884,686 : 1,334,358 = 1,334,358 : x
  2. Step 2: Convert to fraction form
    884,686/1,334,358 = 1,334,358/x
  3. Step 3: Cross multiply
    884,686x = 1,334,358 × 1,334,358
  4. Step 4: Simplify right side
    884,686x = 1,780,511,272,164
  5. Step 5: Solve for x
    x = 1,780,511,272,164/884,686
  6. Step 6: Final answer
    x = 2,012,591.22

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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.