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Finding the Third Proportional to 696,577 and 1,422,670

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Solution

The third proportional to 696,577 and 1,422,670 is: 2,905,622.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,577 : 1,422,670 = 1,422,670 : x
  2. Step 2: Convert to fraction form
    696,577/1,422,670 = 1,422,670/x
  3. Step 3: Cross multiply
    696,577x = 1,422,670 × 1,422,670
  4. Step 4: Simplify right side
    696,577x = 2,023,989,928,900
  5. Step 5: Solve for x
    x = 2,023,989,928,900/696,577
  6. Step 6: Final answer
    x = 2,905,622.68

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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.