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Finding the Third Proportional to 1,205,284.50 and 1,823,478

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Solution

The third proportional to 1,205,284.50 and 1,823,478 is: 2,758,744.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205,284.50 : 1,823,478 = 1,823,478 : x
  2. Step 2: Convert to fraction form
    1,205,284.50/1,823,478 = 1,823,478/x
  3. Step 3: Cross multiply
    1,205,284.50x = 1,823,478 × 1,823,478
  4. Step 4: Simplify right side
    1,205,284.50x = 3,325,072,016,484
  5. Step 5: Solve for x
    x = 3,325,072,016,484/1,205,284.50
  6. Step 6: Final answer
    x = 2,758,744.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.