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Finding the Third Proportional to 2,431,835 and 3,730,175

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Solution

The third proportional to 2,431,835 and 3,730,175 is: 5,721,689.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,431,835 : 3,730,175 = 3,730,175 : x
  2. Step 2: Convert to fraction form
    2,431,835/3,730,175 = 3,730,175/x
  3. Step 3: Cross multiply
    2,431,835x = 3,730,175 × 3,730,175
  4. Step 4: Simplify right side
    2,431,835x = 13,914,205,530,625
  5. Step 5: Solve for x
    x = 13,914,205,530,625/2,431,835
  6. Step 6: Final answer
    x = 5,721,689.81

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.