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Finding the Third Proportional to 1,537,478.09 and 3,376,249.59

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Solution

The third proportional to 1,537,478.09 and 3,376,249.59 is: 7,414,129.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537,478.09 : 3,376,249.59 = 3,376,249.59 : x
  2. Step 2: Convert to fraction form
    1,537,478.09/3,376,249.59 = 3,376,249.59/x
  3. Step 3: Cross multiply
    1,537,478.09x = 3,376,249.59 × 3,376,249.59
  4. Step 4: Simplify right side
    1,537,478.09x = 11,399,061,319,297.04
  5. Step 5: Solve for x
    x = 11,399,061,319,297.04/1,537,478.09
  6. Step 6: Final answer
    x = 7,414,129.30

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.