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Finding the Third Proportional to 2,270,200 and 4,843,473

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Solution

The third proportional to 2,270,200 and 4,843,473 is: 10,333,552.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,270,200 : 4,843,473 = 4,843,473 : x
  2. Step 2: Convert to fraction form
    2,270,200/4,843,473 = 4,843,473/x
  3. Step 3: Cross multiply
    2,270,200x = 4,843,473 × 4,843,473
  4. Step 4: Simplify right side
    2,270,200x = 23,459,230,701,729
  5. Step 5: Solve for x
    x = 23,459,230,701,729/2,270,200
  6. Step 6: Final answer
    x = 10,333,552.42

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.