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Finding the Third Proportional to 666,810 and 1,034,052.75

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Solution

The third proportional to 666,810 and 1,034,052.75 is: 1,603,552.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,810 : 1,034,052.75 = 1,034,052.75 : x
  2. Step 2: Convert to fraction form
    666,810/1,034,052.75 = 1,034,052.75/x
  3. Step 3: Cross multiply
    666,810x = 1,034,052.75 × 1,034,052.75
  4. Step 4: Simplify right side
    666,810x = 1,069,265,089,782.56
  5. Step 5: Solve for x
    x = 1,069,265,089,782.56/666,810
  6. Step 6: Final answer
    x = 1,603,552.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.