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Finding the Third Proportional to 1,810,456.31 and 3,768,208.59

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Solution

The third proportional to 1,810,456.31 and 3,768,208.59 is: 7,842,992.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,810,456.31 : 3,768,208.59 = 3,768,208.59 : x
  2. Step 2: Convert to fraction form
    1,810,456.31/3,768,208.59 = 3,768,208.59/x
  3. Step 3: Cross multiply
    1,810,456.31x = 3,768,208.59 × 3,768,208.59
  4. Step 4: Simplify right side
    1,810,456.31x = 14,199,396,006,011.35
  5. Step 5: Solve for x
    x = 14,199,396,006,011.35/1,810,456.31
  6. Step 6: Final answer
    x = 7,842,992.90

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.