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Finding the Third Proportional to 2,186,394 and 4,512,837

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Solution

The third proportional to 2,186,394 and 4,512,837 is: 9,314,742.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,186,394 : 4,512,837 = 4,512,837 : x
  2. Step 2: Convert to fraction form
    2,186,394/4,512,837 = 4,512,837/x
  3. Step 3: Cross multiply
    2,186,394x = 4,512,837 × 4,512,837
  4. Step 4: Simplify right side
    2,186,394x = 20,365,697,788,569
  5. Step 5: Solve for x
    x = 20,365,697,788,569/2,186,394
  6. Step 6: Final answer
    x = 9,314,742.81

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.