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Finding the Third Proportional to 3,230,142 and 4,704,999

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Solution

The third proportional to 3,230,142 and 4,704,999 is: 6,853,263.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,230,142 : 4,704,999 = 4,704,999 : x
  2. Step 2: Convert to fraction form
    3,230,142/4,704,999 = 4,704,999/x
  3. Step 3: Cross multiply
    3,230,142x = 4,704,999 × 4,704,999
  4. Step 4: Simplify right side
    3,230,142x = 22,137,015,590,001
  5. Step 5: Solve for x
    x = 22,137,015,590,001/3,230,142
  6. Step 6: Final answer
    x = 6,853,263.91

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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.