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Finding the Third Proportional to 600,924 and 935,838

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Solution

The third proportional to 600,924 and 935,838 is: 1,457,410.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,924 : 935,838 = 935,838 : x
  2. Step 2: Convert to fraction form
    600,924/935,838 = 935,838/x
  3. Step 3: Cross multiply
    600,924x = 935,838 × 935,838
  4. Step 4: Simplify right side
    600,924x = 875,792,762,244
  5. Step 5: Solve for x
    x = 875,792,762,244/600,924
  6. Step 6: Final answer
    x = 1,457,410.19

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.