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Finding the Third Proportional to 534,744 and 1,141,650

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Solution

The third proportional to 534,744 and 1,141,650 is: 2,437,362.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,744 : 1,141,650 = 1,141,650 : x
  2. Step 2: Convert to fraction form
    534,744/1,141,650 = 1,141,650/x
  3. Step 3: Cross multiply
    534,744x = 1,141,650 × 1,141,650
  4. Step 4: Simplify right side
    534,744x = 1,303,364,722,500
  5. Step 5: Solve for x
    x = 1,303,364,722,500/534,744
  6. Step 6: Final answer
    x = 2,437,362.03

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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.