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Finding the Third Proportional to 3,230,138 and 4,704,996

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Solution

The third proportional to 3,230,138 and 4,704,996 is: 6,853,263.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,230,138 : 4,704,996 = 4,704,996 : x
  2. Step 2: Convert to fraction form
    3,230,138/4,704,996 = 4,704,996/x
  3. Step 3: Cross multiply
    3,230,138x = 4,704,996 × 4,704,996
  4. Step 4: Simplify right side
    3,230,138x = 22,136,987,360,016
  5. Step 5: Solve for x
    x = 22,136,987,360,016/3,230,138
  6. Step 6: Final answer
    x = 6,853,263.66

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.