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Finding the Third Proportional to 605,970 and 922,101.75

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Solution

The third proportional to 605,970 and 922,101.75 is: 1,403,157.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,970 : 922,101.75 = 922,101.75 : x
  2. Step 2: Convert to fraction form
    605,970/922,101.75 = 922,101.75/x
  3. Step 3: Cross multiply
    605,970x = 922,101.75 × 922,101.75
  4. Step 4: Simplify right side
    605,970x = 850,271,637,353.06
  5. Step 5: Solve for x
    x = 850,271,637,353.06/605,970
  6. Step 6: Final answer
    x = 1,403,157.97

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.