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Finding the Third Proportional to 2,016,415 and 4,430,378

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Solution

The third proportional to 2,016,415 and 4,430,378 is: 9,734,230.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,016,415 : 4,430,378 = 4,430,378 : x
  2. Step 2: Convert to fraction form
    2,016,415/4,430,378 = 4,430,378/x
  3. Step 3: Cross multiply
    2,016,415x = 4,430,378 × 4,430,378
  4. Step 4: Simplify right side
    2,016,415x = 19,628,249,222,884
  5. Step 5: Solve for x
    x = 19,628,249,222,884/2,016,415
  6. Step 6: Final answer
    x = 9,734,230.91

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.