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Finding the Third Proportional to 2,181,444 and 4,686,726

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Solution

The third proportional to 2,181,444 and 4,686,726 is: 10,069,202.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,181,444 : 4,686,726 = 4,686,726 : x
  2. Step 2: Convert to fraction form
    2,181,444/4,686,726 = 4,686,726/x
  3. Step 3: Cross multiply
    2,181,444x = 4,686,726 × 4,686,726
  4. Step 4: Simplify right side
    2,181,444x = 21,965,400,599,076
  5. Step 5: Solve for x
    x = 21,965,400,599,076/2,181,444
  6. Step 6: Final answer
    x = 10,069,202.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.