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Finding the Third Proportional to 681,921 and 1,022,881.50

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Solution

The third proportional to 681,921 and 1,022,881.50 is: 1,534,322.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,921 : 1,022,881.50 = 1,022,881.50 : x
  2. Step 2: Convert to fraction form
    681,921/1,022,881.50 = 1,022,881.50/x
  3. Step 3: Cross multiply
    681,921x = 1,022,881.50 × 1,022,881.50
  4. Step 4: Simplify right side
    681,921x = 1,046,286,563,042.25
  5. Step 5: Solve for x
    x = 1,046,286,563,042.25/681,921
  6. Step 6: Final answer
    x = 1,534,322.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.