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Finding the Third Proportional to 2,535,868 and 5,471,206

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Solution

The third proportional to 2,535,868 and 5,471,206 is: 11,804,279.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,535,868 : 5,471,206 = 5,471,206 : x
  2. Step 2: Convert to fraction form
    2,535,868/5,471,206 = 5,471,206/x
  3. Step 3: Cross multiply
    2,535,868x = 5,471,206 × 5,471,206
  4. Step 4: Simplify right side
    2,535,868x = 29,934,095,094,436
  5. Step 5: Solve for x
    x = 29,934,095,094,436/2,535,868
  6. Step 6: Final answer
    x = 11,804,279.68

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.