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Finding the Third Proportional to 812,214 and 1,262,618

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Solution

The third proportional to 812,214 and 1,262,618 is: 1,962,788.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,214 : 1,262,618 = 1,262,618 : x
  2. Step 2: Convert to fraction form
    812,214/1,262,618 = 1,262,618/x
  3. Step 3: Cross multiply
    812,214x = 1,262,618 × 1,262,618
  4. Step 4: Simplify right side
    812,214x = 1,594,204,213,924
  5. Step 5: Solve for x
    x = 1,594,204,213,924/812,214
  6. Step 6: Final answer
    x = 1,962,788.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.