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Finding the Third Proportional to 1,133,738 and 2,488,633

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Solution

The third proportional to 1,133,738 and 2,488,633 is: 5,462,720.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133,738 : 2,488,633 = 2,488,633 : x
  2. Step 2: Convert to fraction form
    1,133,738/2,488,633 = 2,488,633/x
  3. Step 3: Cross multiply
    1,133,738x = 2,488,633 × 2,488,633
  4. Step 4: Simplify right side
    1,133,738x = 6,193,294,208,689
  5. Step 5: Solve for x
    x = 6,193,294,208,689/1,133,738
  6. Step 6: Final answer
    x = 5,462,720.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.