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Finding the Third Proportional to 1,409,663.25 and 2,117,616.75

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Solution

The third proportional to 1,409,663.25 and 2,117,616.75 is: 3,181,114.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409,663.25 : 2,117,616.75 = 2,117,616.75 : x
  2. Step 2: Convert to fraction form
    1,409,663.25/2,117,616.75 = 2,117,616.75/x
  3. Step 3: Cross multiply
    1,409,663.25x = 2,117,616.75 × 2,117,616.75
  4. Step 4: Simplify right side
    1,409,663.25x = 4,484,300,699,880.56
  5. Step 5: Solve for x
    x = 4,484,300,699,880.56/1,409,663.25
  6. Step 6: Final answer
    x = 3,181,114.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.