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Finding the Third Proportional to 1,935,917 and 4,174,920

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Solution

The third proportional to 1,935,917 and 4,174,920 is: 9,003,462.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,935,917 : 4,174,920 = 4,174,920 : x
  2. Step 2: Convert to fraction form
    1,935,917/4,174,920 = 4,174,920/x
  3. Step 3: Cross multiply
    1,935,917x = 4,174,920 × 4,174,920
  4. Step 4: Simplify right side
    1,935,917x = 17,429,957,006,400
  5. Step 5: Solve for x
    x = 17,429,957,006,400/1,935,917
  6. Step 6: Final answer
    x = 9,003,462.96

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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.