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Finding the Third Proportional to 2,170,033.50 and 4,639,017

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Solution

The third proportional to 2,170,033.50 and 4,639,017 is: 9,917,118.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170,033.50 : 4,639,017 = 4,639,017 : x
  2. Step 2: Convert to fraction form
    2,170,033.50/4,639,017 = 4,639,017/x
  3. Step 3: Cross multiply
    2,170,033.50x = 4,639,017 × 4,639,017
  4. Step 4: Simplify right side
    2,170,033.50x = 21,520,478,726,289
  5. Step 5: Solve for x
    x = 21,520,478,726,289/2,170,033.50
  6. Step 6: Final answer
    x = 9,917,118.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.