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Finding the Third Proportional to 1,206,877.50 and 1,822,618.50

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Solution

The third proportional to 1,206,877.50 and 1,822,618.50 is: 2,752,506.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206,877.50 : 1,822,618.50 = 1,822,618.50 : x
  2. Step 2: Convert to fraction form
    1,206,877.50/1,822,618.50 = 1,822,618.50/x
  3. Step 3: Cross multiply
    1,206,877.50x = 1,822,618.50 × 1,822,618.50
  4. Step 4: Simplify right side
    1,206,877.50x = 3,321,938,196,542.25
  5. Step 5: Solve for x
    x = 3,321,938,196,542.25/1,206,877.50
  6. Step 6: Final answer
    x = 2,752,506.53

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