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Finding the Third Proportional to 681,594 and 1,433,698.50

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Solution

The third proportional to 681,594 and 1,433,698.50 is: 3,015,712.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,594 : 1,433,698.50 = 1,433,698.50 : x
  2. Step 2: Convert to fraction form
    681,594/1,433,698.50 = 1,433,698.50/x
  3. Step 3: Cross multiply
    681,594x = 1,433,698.50 × 1,433,698.50
  4. Step 4: Simplify right side
    681,594x = 2,055,491,388,902.25
  5. Step 5: Solve for x
    x = 2,055,491,388,902.25/681,594
  6. Step 6: Final answer
    x = 3,015,712.27

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.