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Finding the Third Proportional to 696,577.50 and 1,422,675

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Solution

The third proportional to 696,577.50 and 1,422,675 is: 2,905,641.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,577.50 : 1,422,675 = 1,422,675 : x
  2. Step 2: Convert to fraction form
    696,577.50/1,422,675 = 1,422,675/x
  3. Step 3: Cross multiply
    696,577.50x = 1,422,675 × 1,422,675
  4. Step 4: Simplify right side
    696,577.50x = 2,024,004,155,625
  5. Step 5: Solve for x
    x = 2,024,004,155,625/696,577.50
  6. Step 6: Final answer
    x = 2,905,641.02

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.