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Finding the Third Proportional to 2,593,400 and 4,166,900

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Solution

The third proportional to 2,593,400 and 4,166,900 is: 6,695,093.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,593,400 : 4,166,900 = 4,166,900 : x
  2. Step 2: Convert to fraction form
    2,593,400/4,166,900 = 4,166,900/x
  3. Step 3: Cross multiply
    2,593,400x = 4,166,900 × 4,166,900
  4. Step 4: Simplify right side
    2,593,400x = 17,363,055,610,000
  5. Step 5: Solve for x
    x = 17,363,055,610,000/2,593,400
  6. Step 6: Final answer
    x = 6,695,093.55

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.