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Finding the Third Proportional to 1,143,563 and 2,435,032

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Solution

The third proportional to 1,143,563 and 2,435,032 is: 5,185,005.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143,563 : 2,435,032 = 2,435,032 : x
  2. Step 2: Convert to fraction form
    1,143,563/2,435,032 = 2,435,032/x
  3. Step 3: Cross multiply
    1,143,563x = 2,435,032 × 2,435,032
  4. Step 4: Simplify right side
    1,143,563x = 5,929,380,841,024
  5. Step 5: Solve for x
    x = 5,929,380,841,024/1,143,563
  6. Step 6: Final answer
    x = 5,185,005.85

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.