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Finding the Third Proportional to 1,970,209 and 4,254,770

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Solution

The third proportional to 1,970,209 and 4,254,770 is: 9,188,399.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970,209 : 4,254,770 = 4,254,770 : x
  2. Step 2: Convert to fraction form
    1,970,209/4,254,770 = 4,254,770/x
  3. Step 3: Cross multiply
    1,970,209x = 4,254,770 × 4,254,770
  4. Step 4: Simplify right side
    1,970,209x = 18,103,067,752,900
  5. Step 5: Solve for x
    x = 18,103,067,752,900/1,970,209
  6. Step 6: Final answer
    x = 9,188,399.68

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.