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Finding the Third Proportional to 2,170,023.75 and 4,638,998.25

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Solution

The third proportional to 2,170,023.75 and 4,638,998.25 is: 9,917,082.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170,023.75 : 4,638,998.25 = 4,638,998.25 : x
  2. Step 2: Convert to fraction form
    2,170,023.75/4,638,998.25 = 4,638,998.25/x
  3. Step 3: Cross multiply
    2,170,023.75x = 4,638,998.25 × 4,638,998.25
  4. Step 4: Simplify right side
    2,170,023.75x = 21,520,304,763,503.06
  5. Step 5: Solve for x
    x = 21,520,304,763,503.06/2,170,023.75
  6. Step 6: Final answer
    x = 9,917,082.60

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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.