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Finding the Third Proportional to 798,618 and 1,730,022

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Solution

The third proportional to 798,618 and 1,730,022 is: 3,747,694.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    798,618 : 1,730,022 = 1,730,022 : x
  2. Step 2: Convert to fraction form
    798,618/1,730,022 = 1,730,022/x
  3. Step 3: Cross multiply
    798,618x = 1,730,022 × 1,730,022
  4. Step 4: Simplify right side
    798,618x = 2,992,976,120,484
  5. Step 5: Solve for x
    x = 2,992,976,120,484/798,618
  6. Step 6: Final answer
    x = 3,747,694.29

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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.