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Finding the Third Proportional to 601,047 and 936,036

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Solution

The third proportional to 601,047 and 936,036 is: 1,457,728.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,047 : 936,036 = 936,036 : x
  2. Step 2: Convert to fraction form
    601,047/936,036 = 936,036/x
  3. Step 3: Cross multiply
    601,047x = 936,036 × 936,036
  4. Step 4: Simplify right side
    601,047x = 876,163,393,296
  5. Step 5: Solve for x
    x = 876,163,393,296/601,047
  6. Step 6: Final answer
    x = 1,457,728.59

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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.