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Finding the Third Proportional to 676,984 and 1,486,823

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Solution

The third proportional to 676,984 and 1,486,823 is: 3,265,428.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,984 : 1,486,823 = 1,486,823 : x
  2. Step 2: Convert to fraction form
    676,984/1,486,823 = 1,486,823/x
  3. Step 3: Cross multiply
    676,984x = 1,486,823 × 1,486,823
  4. Step 4: Simplify right side
    676,984x = 2,210,642,633,329
  5. Step 5: Solve for x
    x = 2,210,642,633,329/676,984
  6. Step 6: Final answer
    x = 3,265,428.18

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Why These Related Problems?

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