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Finding the Third Proportional to 3,781,029.38 and 5,811,714.56

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Solution

The third proportional to 3,781,029.38 and 5,811,714.56 is: 8,933,024.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,781,029.38 : 5,811,714.56 = 5,811,714.56 : x
  2. Step 2: Convert to fraction form
    3,781,029.38/5,811,714.56 = 5,811,714.56/x
  3. Step 3: Cross multiply
    3,781,029.38x = 5,811,714.56 × 5,811,714.56
  4. Step 4: Simplify right side
    3,781,029.38x = 33,776,026,155,974.57
  5. Step 5: Solve for x
    x = 33,776,026,155,974.57/3,781,029.38
  6. Step 6: Final answer
    x = 8,933,024.00

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.