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Finding the Third Proportional to 2,032,288 and 2,992,288

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Solution

The third proportional to 2,032,288 and 2,992,288 is: 4,405,767.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032,288 : 2,992,288 = 2,992,288 : x
  2. Step 2: Convert to fraction form
    2,032,288/2,992,288 = 2,992,288/x
  3. Step 3: Cross multiply
    2,032,288x = 2,992,288 × 2,992,288
  4. Step 4: Simplify right side
    2,032,288x = 8,953,787,474,944
  5. Step 5: Solve for x
    x = 8,953,787,474,944/2,032,288
  6. Step 6: Final answer
    x = 4,405,767.03

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.