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Finding the Third Proportional to 2,027,100 and 2,730,368.25

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Solution

The third proportional to 2,027,100 and 2,730,368.25 is: 3,677,623.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027,100 : 2,730,368.25 = 2,730,368.25 : x
  2. Step 2: Convert to fraction form
    2,027,100/2,730,368.25 = 2,730,368.25/x
  3. Step 3: Cross multiply
    2,027,100x = 2,730,368.25 × 2,730,368.25
  4. Step 4: Simplify right side
    2,027,100x = 7,454,910,780,608.06
  5. Step 5: Solve for x
    x = 7,454,910,780,608.06/2,027,100
  6. Step 6: Final answer
    x = 3,677,623.59

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.