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Finding the Third Proportional to 2,366,526 and 5,180,838

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Solution

The third proportional to 2,366,526 and 5,180,838 is: 11,341,976.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,366,526 : 5,180,838 = 5,180,838 : x
  2. Step 2: Convert to fraction form
    2,366,526/5,180,838 = 5,180,838/x
  3. Step 3: Cross multiply
    2,366,526x = 5,180,838 × 5,180,838
  4. Step 4: Simplify right side
    2,366,526x = 26,841,082,382,244
  5. Step 5: Solve for x
    x = 26,841,082,382,244/2,366,526
  6. Step 6: Final answer
    x = 11,341,976.54

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Why These Related Problems?

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