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Finding the Third Proportional to 2,358,034 and 3,337,295

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Solution

The third proportional to 2,358,034 and 3,337,295 is: 4,723,230.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,358,034 : 3,337,295 = 3,337,295 : x
  2. Step 2: Convert to fraction form
    2,358,034/3,337,295 = 3,337,295/x
  3. Step 3: Cross multiply
    2,358,034x = 3,337,295 × 3,337,295
  4. Step 4: Simplify right side
    2,358,034x = 11,137,537,917,025
  5. Step 5: Solve for x
    x = 11,137,537,917,025/2,358,034
  6. Step 6: Final answer
    x = 4,723,230.42

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.