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Finding the Third Proportional to 514,226 and 1,116,901

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Solution

The third proportional to 514,226 and 1,116,901 is: 2,425,913.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,226 : 1,116,901 = 1,116,901 : x
  2. Step 2: Convert to fraction form
    514,226/1,116,901 = 1,116,901/x
  3. Step 3: Cross multiply
    514,226x = 1,116,901 × 1,116,901
  4. Step 4: Simplify right side
    514,226x = 1,247,467,843,801
  5. Step 5: Solve for x
    x = 1,247,467,843,801/514,226
  6. Step 6: Final answer
    x = 2,425,913.59

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.