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Finding the Third Proportional to 1,514,910.75 and 3,239,773.50

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Solution

The third proportional to 1,514,910.75 and 3,239,773.50 is: 6,928,548.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,514,910.75 : 3,239,773.50 = 3,239,773.50 : x
  2. Step 2: Convert to fraction form
    1,514,910.75/3,239,773.50 = 3,239,773.50/x
  3. Step 3: Cross multiply
    1,514,910.75x = 3,239,773.50 × 3,239,773.50
  4. Step 4: Simplify right side
    1,514,910.75x = 10,496,132,331,302.25
  5. Step 5: Solve for x
    x = 10,496,132,331,302.25/1,514,910.75
  6. Step 6: Final answer
    x = 6,928,548.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.