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Finding the Third Proportional to 2,291,858 and 4,856,920

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Solution

The third proportional to 2,291,858 and 4,856,920 is: 10,292,815.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,291,858 : 4,856,920 = 4,856,920 : x
  2. Step 2: Convert to fraction form
    2,291,858/4,856,920 = 4,856,920/x
  3. Step 3: Cross multiply
    2,291,858x = 4,856,920 × 4,856,920
  4. Step 4: Simplify right side
    2,291,858x = 23,589,671,886,400
  5. Step 5: Solve for x
    x = 23,589,671,886,400/2,291,858
  6. Step 6: Final answer
    x = 10,292,815.65

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.