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Finding the Third Proportional to 2,052,173 and 4,498,371

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Solution

The third proportional to 2,052,173 and 4,498,371 is: 9,860,446.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052,173 : 4,498,371 = 4,498,371 : x
  2. Step 2: Convert to fraction form
    2,052,173/4,498,371 = 4,498,371/x
  3. Step 3: Cross multiply
    2,052,173x = 4,498,371 × 4,498,371
  4. Step 4: Simplify right side
    2,052,173x = 20,235,341,653,641
  5. Step 5: Solve for x
    x = 20,235,341,653,641/2,052,173
  6. Step 6: Final answer
    x = 9,860,446.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.