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Finding the Third Proportional to 676,974 and 1,486,806

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Solution

The third proportional to 676,974 and 1,486,806 is: 3,265,401.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,974 : 1,486,806 = 1,486,806 : x
  2. Step 2: Convert to fraction form
    676,974/1,486,806 = 1,486,806/x
  3. Step 3: Cross multiply
    676,974x = 1,486,806 × 1,486,806
  4. Step 4: Simplify right side
    676,974x = 2,210,592,081,636
  5. Step 5: Solve for x
    x = 2,210,592,081,636/676,974
  6. Step 6: Final answer
    x = 3,265,401.75

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.