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Finding the Third Proportional to 663,012 and 1,019,688.75

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Solution

The third proportional to 663,012 and 1,019,688.75 is: 1,568,244.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,012 : 1,019,688.75 = 1,019,688.75 : x
  2. Step 2: Convert to fraction form
    663,012/1,019,688.75 = 1,019,688.75/x
  3. Step 3: Cross multiply
    663,012x = 1,019,688.75 × 1,019,688.75
  4. Step 4: Simplify right side
    663,012x = 1,039,765,146,876.56
  5. Step 5: Solve for x
    x = 1,039,765,146,876.56/663,012
  6. Step 6: Final answer
    x = 1,568,244.84

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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.