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Finding the Third Proportional to 2,109,826 and 4,649,924

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Solution

The third proportional to 2,109,826 and 4,649,924 is: 10,248,140.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109,826 : 4,649,924 = 4,649,924 : x
  2. Step 2: Convert to fraction form
    2,109,826/4,649,924 = 4,649,924/x
  3. Step 3: Cross multiply
    2,109,826x = 4,649,924 × 4,649,924
  4. Step 4: Simplify right side
    2,109,826x = 21,621,793,205,776
  5. Step 5: Solve for x
    x = 21,621,793,205,776/2,109,826
  6. Step 6: Final answer
    x = 10,248,140.47

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.