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Finding the Third Proportional to 1,231,560 and 2,686,032

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Solution

The third proportional to 1,231,560 and 2,686,032 is: 5,858,235.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231,560 : 2,686,032 = 2,686,032 : x
  2. Step 2: Convert to fraction form
    1,231,560/2,686,032 = 2,686,032/x
  3. Step 3: Cross multiply
    1,231,560x = 2,686,032 × 2,686,032
  4. Step 4: Simplify right side
    1,231,560x = 7,214,767,905,024
  5. Step 5: Solve for x
    x = 7,214,767,905,024/1,231,560
  6. Step 6: Final answer
    x = 5,858,235.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.