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Finding the Third Proportional to 1,710,072 and 2,405,184

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Solution

The third proportional to 1,710,072 and 2,405,184 is: 3,382,845.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,710,072 : 2,405,184 = 2,405,184 : x
  2. Step 2: Convert to fraction form
    1,710,072/2,405,184 = 2,405,184/x
  3. Step 3: Cross multiply
    1,710,072x = 2,405,184 × 2,405,184
  4. Step 4: Simplify right side
    1,710,072x = 5,784,910,073,856
  5. Step 5: Solve for x
    x = 5,784,910,073,856/1,710,072
  6. Step 6: Final answer
    x = 3,382,845.91

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.