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Finding the Third Proportional to 832,849 and 1,808,398

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Solution

The third proportional to 832,849 and 1,808,398 is: 3,926,646.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,849 : 1,808,398 = 1,808,398 : x
  2. Step 2: Convert to fraction form
    832,849/1,808,398 = 1,808,398/x
  3. Step 3: Cross multiply
    832,849x = 1,808,398 × 1,808,398
  4. Step 4: Simplify right side
    832,849x = 3,270,303,326,404
  5. Step 5: Solve for x
    x = 3,270,303,326,404/832,849
  6. Step 6: Final answer
    x = 3,926,646.16

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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.