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Finding the Third Proportional to 2,957,850 and 4,226,823

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Solution

The third proportional to 2,957,850 and 4,226,823 is: 6,040,209.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,957,850 : 4,226,823 = 4,226,823 : x
  2. Step 2: Convert to fraction form
    2,957,850/4,226,823 = 4,226,823/x
  3. Step 3: Cross multiply
    2,957,850x = 4,226,823 × 4,226,823
  4. Step 4: Simplify right side
    2,957,850x = 17,866,032,673,329
  5. Step 5: Solve for x
    x = 17,866,032,673,329/2,957,850
  6. Step 6: Final answer
    x = 6,040,209.16

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.