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Finding the Third Proportional to 1,514,998.69 and 2,524,732.03

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Solution

The third proportional to 1,514,998.69 and 2,524,732.03 is: 4,207,443.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,514,998.69 : 2,524,732.03 = 2,524,732.03 : x
  2. Step 2: Convert to fraction form
    1,514,998.69/2,524,732.03 = 2,524,732.03/x
  3. Step 3: Cross multiply
    1,514,998.69x = 2,524,732.03 × 2,524,732.03
  4. Step 4: Simplify right side
    1,514,998.69x = 6,374,271,829,619.75
  5. Step 5: Solve for x
    x = 6,374,271,829,619.75/1,514,998.69
  6. Step 6: Final answer
    x = 4,207,443.80

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.