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Finding the Third Proportional to 2,101,977 and 4,596,561

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Solution

The third proportional to 2,101,977 and 4,596,561 is: 10,051,667.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101,977 : 4,596,561 = 4,596,561 : x
  2. Step 2: Convert to fraction form
    2,101,977/4,596,561 = 4,596,561/x
  3. Step 3: Cross multiply
    2,101,977x = 4,596,561 × 4,596,561
  4. Step 4: Simplify right side
    2,101,977x = 21,128,373,026,721
  5. Step 5: Solve for x
    x = 21,128,373,026,721/2,101,977
  6. Step 6: Final answer
    x = 10,051,667.09

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.