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Finding the Third Proportional to 666,225.75 and 1,005,338.06

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Solution

The third proportional to 666,225.75 and 1,005,338.06 is: 1,517,060.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,225.75 : 1,005,338.06 = 1,005,338.06 : x
  2. Step 2: Convert to fraction form
    666,225.75/1,005,338.06 = 1,005,338.06/x
  3. Step 3: Cross multiply
    666,225.75x = 1,005,338.06 × 1,005,338.06
  4. Step 4: Simplify right side
    666,225.75x = 1,010,704,619,911.25
  5. Step 5: Solve for x
    x = 1,010,704,619,911.25/666,225.75
  6. Step 6: Final answer
    x = 1,517,060.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.