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Finding the Third Proportional to 750,799.50 and 1,771,578.38

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Solution

The third proportional to 750,799.50 and 1,771,578.38 is: 4,180,197.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    750,799.50 : 1,771,578.38 = 1,771,578.38 : x
  2. Step 2: Convert to fraction form
    750,799.50/1,771,578.38 = 1,771,578.38/x
  3. Step 3: Cross multiply
    750,799.50x = 1,771,578.38 × 1,771,578.38
  4. Step 4: Simplify right side
    750,799.50x = 3,138,489,938,767.64
  5. Step 5: Solve for x
    x = 3,138,489,938,767.64/750,799.50
  6. Step 6: Final answer
    x = 4,180,197.16

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.