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Finding the Third Proportional to 791,618 and 1,543,627

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Solution

The third proportional to 791,618 and 1,543,627 is: 3,010,017.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    791,618 : 1,543,627 = 1,543,627 : x
  2. Step 2: Convert to fraction form
    791,618/1,543,627 = 1,543,627/x
  3. Step 3: Cross multiply
    791,618x = 1,543,627 × 1,543,627
  4. Step 4: Simplify right side
    791,618x = 2,382,784,315,129
  5. Step 5: Solve for x
    x = 2,382,784,315,129/791,618
  6. Step 6: Final answer
    x = 3,010,017.86

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.