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Finding the Third Proportional to 696,616 and 1,422,748

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Solution

The third proportional to 696,616 and 1,422,748 is: 2,905,778.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,616 : 1,422,748 = 1,422,748 : x
  2. Step 2: Convert to fraction form
    696,616/1,422,748 = 1,422,748/x
  3. Step 3: Cross multiply
    696,616x = 1,422,748 × 1,422,748
  4. Step 4: Simplify right side
    696,616x = 2,024,211,871,504
  5. Step 5: Solve for x
    x = 2,024,211,871,504/696,616
  6. Step 6: Final answer
    x = 2,905,778.61

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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.