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Finding the Third Proportional to 1,235,520 and 2,707,235

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Solution

The third proportional to 1,235,520 and 2,707,235 is: 5,932,013.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,235,520 : 2,707,235 = 2,707,235 : x
  2. Step 2: Convert to fraction form
    1,235,520/2,707,235 = 2,707,235/x
  3. Step 3: Cross multiply
    1,235,520x = 2,707,235 × 2,707,235
  4. Step 4: Simplify right side
    1,235,520x = 7,329,121,345,225
  5. Step 5: Solve for x
    x = 7,329,121,345,225/1,235,520
  6. Step 6: Final answer
    x = 5,932,013.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.