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Finding the Third Proportional to 663,015 and 1,019,692.50

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Solution

The third proportional to 663,015 and 1,019,692.50 is: 1,568,249.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,015 : 1,019,692.50 = 1,019,692.50 : x
  2. Step 2: Convert to fraction form
    663,015/1,019,692.50 = 1,019,692.50/x
  3. Step 3: Cross multiply
    663,015x = 1,019,692.50 × 1,019,692.50
  4. Step 4: Simplify right side
    663,015x = 1,039,772,794,556.25
  5. Step 5: Solve for x
    x = 1,039,772,794,556.25/663,015
  6. Step 6: Final answer
    x = 1,568,249.28

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.