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Finding the Third Proportional to 535,292 and 1,188,664

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Solution

The third proportional to 535,292 and 1,188,664 is: 2,639,535.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,292 : 1,188,664 = 1,188,664 : x
  2. Step 2: Convert to fraction form
    535,292/1,188,664 = 1,188,664/x
  3. Step 3: Cross multiply
    535,292x = 1,188,664 × 1,188,664
  4. Step 4: Simplify right side
    535,292x = 1,412,922,104,896
  5. Step 5: Solve for x
    x = 1,412,922,104,896/535,292
  6. Step 6: Final answer
    x = 2,639,535.25

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.