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Finding the Third Proportional to 2,201,719 and 4,554,471

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Solution

The third proportional to 2,201,719 and 4,554,471 is: 9,421,368.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,201,719 : 4,554,471 = 4,554,471 : x
  2. Step 2: Convert to fraction form
    2,201,719/4,554,471 = 4,554,471/x
  3. Step 3: Cross multiply
    2,201,719x = 4,554,471 × 4,554,471
  4. Step 4: Simplify right side
    2,201,719x = 20,743,206,089,841
  5. Step 5: Solve for x
    x = 20,743,206,089,841/2,201,719
  6. Step 6: Final answer
    x = 9,421,368.53

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.