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Finding the Third Proportional to 2,653,269.75 and 4,208,112

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Solution

The third proportional to 2,653,269.75 and 4,208,112 is: 6,674,107.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,653,269.75 : 4,208,112 = 4,208,112 : x
  2. Step 2: Convert to fraction form
    2,653,269.75/4,208,112 = 4,208,112/x
  3. Step 3: Cross multiply
    2,653,269.75x = 4,208,112 × 4,208,112
  4. Step 4: Simplify right side
    2,653,269.75x = 17,708,206,604,544
  5. Step 5: Solve for x
    x = 17,708,206,604,544/2,653,269.75
  6. Step 6: Final answer
    x = 6,674,107.15

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.