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Finding the Third Proportional to 1,768,016 and 3,817,750

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Solution

The third proportional to 1,768,016 and 3,817,750 is: 8,243,825.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,768,016 : 3,817,750 = 3,817,750 : x
  2. Step 2: Convert to fraction form
    1,768,016/3,817,750 = 3,817,750/x
  3. Step 3: Cross multiply
    1,768,016x = 3,817,750 × 3,817,750
  4. Step 4: Simplify right side
    1,768,016x = 14,575,215,062,500
  5. Step 5: Solve for x
    x = 14,575,215,062,500/1,768,016
  6. Step 6: Final answer
    x = 8,243,825.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.