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Finding the Third Proportional to 837,909 and 1,821,618

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Solution

The third proportional to 837,909 and 1,821,618 is: 3,960,205.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    837,909 : 1,821,618 = 1,821,618 : x
  2. Step 2: Convert to fraction form
    837,909/1,821,618 = 1,821,618/x
  3. Step 3: Cross multiply
    837,909x = 1,821,618 × 1,821,618
  4. Step 4: Simplify right side
    837,909x = 3,318,292,137,924
  5. Step 5: Solve for x
    x = 3,318,292,137,924/837,909
  6. Step 6: Final answer
    x = 3,960,205.87

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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.