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Finding the Third Proportional to 1,676,584 and 2,659,166

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Solution

The third proportional to 1,676,584 and 2,659,166 is: 4,217,601.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,676,584 : 2,659,166 = 2,659,166 : x
  2. Step 2: Convert to fraction form
    1,676,584/2,659,166 = 2,659,166/x
  3. Step 3: Cross multiply
    1,676,584x = 2,659,166 × 2,659,166
  4. Step 4: Simplify right side
    1,676,584x = 7,071,163,815,556
  5. Step 5: Solve for x
    x = 7,071,163,815,556/1,676,584
  6. Step 6: Final answer
    x = 4,217,601.87

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.