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Finding the Third Proportional to 825,327 and 1,808,109

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Solution

The third proportional to 825,327 and 1,808,109 is: 3,961,167.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,327 : 1,808,109 = 1,808,109 : x
  2. Step 2: Convert to fraction form
    825,327/1,808,109 = 1,808,109/x
  3. Step 3: Cross multiply
    825,327x = 1,808,109 × 1,808,109
  4. Step 4: Simplify right side
    825,327x = 3,269,258,155,881
  5. Step 5: Solve for x
    x = 3,269,258,155,881/825,327
  6. Step 6: Final answer
    x = 3,961,167.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.