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Finding the Third Proportional to 2,109,824 and 4,649,920

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Solution

The third proportional to 2,109,824 and 4,649,920 is: 10,248,132.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109,824 : 4,649,920 = 4,649,920 : x
  2. Step 2: Convert to fraction form
    2,109,824/4,649,920 = 4,649,920/x
  3. Step 3: Cross multiply
    2,109,824x = 4,649,920 × 4,649,920
  4. Step 4: Simplify right side
    2,109,824x = 21,621,756,006,400
  5. Step 5: Solve for x
    x = 21,621,756,006,400/2,109,824
  6. Step 6: Final answer
    x = 10,248,132.55

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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.