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Finding the Third Proportional to 762,618 and 1,626,567

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Solution

The third proportional to 762,618 and 1,626,567 is: 3,469,260.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,618 : 1,626,567 = 1,626,567 : x
  2. Step 2: Convert to fraction form
    762,618/1,626,567 = 1,626,567/x
  3. Step 3: Cross multiply
    762,618x = 1,626,567 × 1,626,567
  4. Step 4: Simplify right side
    762,618x = 2,645,720,205,489
  5. Step 5: Solve for x
    x = 2,645,720,205,489/762,618
  6. Step 6: Final answer
    x = 3,469,260.11

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.