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Finding the Third Proportional to 1,205,285.50 and 1,823,479.50

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Solution

The third proportional to 1,205,285.50 and 1,823,479.50 is: 2,758,746.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205,285.50 : 1,823,479.50 = 1,823,479.50 : x
  2. Step 2: Convert to fraction form
    1,205,285.50/1,823,479.50 = 1,823,479.50/x
  3. Step 3: Cross multiply
    1,205,285.50x = 1,823,479.50 × 1,823,479.50
  4. Step 4: Simplify right side
    1,205,285.50x = 3,325,077,486,920.25
  5. Step 5: Solve for x
    x = 3,325,077,486,920.25/1,205,285.50
  6. Step 6: Final answer
    x = 2,758,746.78

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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.