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Finding the Third Proportional to 2,059,506 and 4,462,128

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Solution

The third proportional to 2,059,506 and 4,462,128 is: 9,667,651.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,059,506 : 4,462,128 = 4,462,128 : x
  2. Step 2: Convert to fraction form
    2,059,506/4,462,128 = 4,462,128/x
  3. Step 3: Cross multiply
    2,059,506x = 4,462,128 × 4,462,128
  4. Step 4: Simplify right side
    2,059,506x = 19,910,586,288,384
  5. Step 5: Solve for x
    x = 19,910,586,288,384/2,059,506
  6. Step 6: Final answer
    x = 9,667,651.51

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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.