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Finding the Third Proportional to 762,772 and 1,645,496

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Solution

The third proportional to 762,772 and 1,645,496 is: 3,549,759.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,772 : 1,645,496 = 1,645,496 : x
  2. Step 2: Convert to fraction form
    762,772/1,645,496 = 1,645,496/x
  3. Step 3: Cross multiply
    762,772x = 1,645,496 × 1,645,496
  4. Step 4: Simplify right side
    762,772x = 2,707,657,086,016
  5. Step 5: Solve for x
    x = 2,707,657,086,016/762,772
  6. Step 6: Final answer
    x = 3,549,759.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.