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Finding the Third Proportional to 2,193,355.13 and 3,409,639.31

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Solution

The third proportional to 2,193,355.13 and 3,409,639.31 is: 5,300,391.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,193,355.13 : 3,409,639.31 = 3,409,639.31 : x
  2. Step 2: Convert to fraction form
    2,193,355.13/3,409,639.31 = 3,409,639.31/x
  3. Step 3: Cross multiply
    2,193,355.13x = 3,409,639.31 × 3,409,639.31
  4. Step 4: Simplify right side
    2,193,355.13x = 11,625,640,241,345.47
  5. Step 5: Solve for x
    x = 11,625,640,241,345.47/2,193,355.13
  6. Step 6: Final answer
    x = 5,300,391.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.