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Finding the Third Proportional to 2,134,686 and 4,648,235

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Solution

The third proportional to 2,134,686 and 4,648,235 is: 10,121,436.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134,686 : 4,648,235 = 4,648,235 : x
  2. Step 2: Convert to fraction form
    2,134,686/4,648,235 = 4,648,235/x
  3. Step 3: Cross multiply
    2,134,686x = 4,648,235 × 4,648,235
  4. Step 4: Simplify right side
    2,134,686x = 21,606,088,615,225
  5. Step 5: Solve for x
    x = 21,606,088,615,225/2,134,686
  6. Step 6: Final answer
    x = 10,121,436.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.