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Finding the Third Proportional to 3,710,409.75 and 5,675,959.13

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Solution

The third proportional to 3,710,409.75 and 5,675,959.13 is: 8,682,736.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,710,409.75 : 5,675,959.13 = 5,675,959.13 : x
  2. Step 2: Convert to fraction form
    3,710,409.75/5,675,959.13 = 5,675,959.13/x
  3. Step 3: Cross multiply
    3,710,409.75x = 5,675,959.13 × 5,675,959.13
  4. Step 4: Simplify right side
    3,710,409.75x = 32,216,511,988,670.77
  5. Step 5: Solve for x
    x = 32,216,511,988,670.77/3,710,409.75
  6. Step 6: Final answer
    x = 8,682,736.99

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.