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Finding the Third Proportional to 2,811,000 and 6,181,776

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Solution

The third proportional to 2,811,000 and 6,181,776 is: 13,594,576.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,811,000 : 6,181,776 = 6,181,776 : x
  2. Step 2: Convert to fraction form
    2,811,000/6,181,776 = 6,181,776/x
  3. Step 3: Cross multiply
    2,811,000x = 6,181,776 × 6,181,776
  4. Step 4: Simplify right side
    2,811,000x = 38,214,354,514,176
  5. Step 5: Solve for x
    x = 38,214,354,514,176/2,811,000
  6. Step 6: Final answer
    x = 13,594,576.49

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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.