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Finding the Third Proportional to 2,164,785.75 and 4,703,811.75

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Solution

The third proportional to 2,164,785.75 and 4,703,811.75 is: 10,220,801.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164,785.75 : 4,703,811.75 = 4,703,811.75 : x
  2. Step 2: Convert to fraction form
    2,164,785.75/4,703,811.75 = 4,703,811.75/x
  3. Step 3: Cross multiply
    2,164,785.75x = 4,703,811.75 × 4,703,811.75
  4. Step 4: Simplify right side
    2,164,785.75x = 22,125,844,979,438.06
  5. Step 5: Solve for x
    x = 22,125,844,979,438.06/2,164,785.75
  6. Step 6: Final answer
    x = 10,220,801.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.