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Finding the Third Proportional to 832,532 and 1,805,034

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Solution

The third proportional to 832,532 and 1,805,034 is: 3,913,540.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,532 : 1,805,034 = 1,805,034 : x
  2. Step 2: Convert to fraction form
    832,532/1,805,034 = 1,805,034/x
  3. Step 3: Cross multiply
    832,532x = 1,805,034 × 1,805,034
  4. Step 4: Simplify right side
    832,532x = 3,258,147,741,156
  5. Step 5: Solve for x
    x = 3,258,147,741,156/832,532
  6. Step 6: Final answer
    x = 3,913,540.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.