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Finding the Third Proportional to 908,618 and 1,982,275

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Solution

The third proportional to 908,618 and 1,982,275 is: 4,324,605.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    908,618 : 1,982,275 = 1,982,275 : x
  2. Step 2: Convert to fraction form
    908,618/1,982,275 = 1,982,275/x
  3. Step 3: Cross multiply
    908,618x = 1,982,275 × 1,982,275
  4. Step 4: Simplify right side
    908,618x = 3,929,414,175,625
  5. Step 5: Solve for x
    x = 3,929,414,175,625/908,618
  6. Step 6: Final answer
    x = 4,324,605.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.