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Finding the Third Proportional to 2,106,032 and 4,548,295

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Solution

The third proportional to 2,106,032 and 4,548,295 is: 9,822,731.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106,032 : 4,548,295 = 4,548,295 : x
  2. Step 2: Convert to fraction form
    2,106,032/4,548,295 = 4,548,295/x
  3. Step 3: Cross multiply
    2,106,032x = 4,548,295 × 4,548,295
  4. Step 4: Simplify right side
    2,106,032x = 20,686,987,407,025
  5. Step 5: Solve for x
    x = 20,686,987,407,025/2,106,032
  6. Step 6: Final answer
    x = 9,822,731.76

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Why These Related Problems?

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