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Finding the Third Proportional to 681,924 and 1,069,734

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Solution

The third proportional to 681,924 and 1,069,734 is: 1,678,091.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,924 : 1,069,734 = 1,069,734 : x
  2. Step 2: Convert to fraction form
    681,924/1,069,734 = 1,069,734/x
  3. Step 3: Cross multiply
    681,924x = 1,069,734 × 1,069,734
  4. Step 4: Simplify right side
    681,924x = 1,144,330,830,756
  5. Step 5: Solve for x
    x = 1,144,330,830,756/681,924
  6. Step 6: Final answer
    x = 1,678,091.45

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.