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Finding the Third Proportional to 1,834,598.50 and 3,891,177

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Solution

The third proportional to 1,834,598.50 and 3,891,177 is: 8,253,172.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,834,598.50 : 3,891,177 = 3,891,177 : x
  2. Step 2: Convert to fraction form
    1,834,598.50/3,891,177 = 3,891,177/x
  3. Step 3: Cross multiply
    1,834,598.50x = 3,891,177 × 3,891,177
  4. Step 4: Simplify right side
    1,834,598.50x = 15,141,258,445,329
  5. Step 5: Solve for x
    x = 15,141,258,445,329/1,834,598.50
  6. Step 6: Final answer
    x = 8,253,172.80

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.