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Finding the Third Proportional to 700,507.50 and 1,540,983

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Solution

The third proportional to 700,507.50 and 1,540,983 is: 3,389,868.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,507.50 : 1,540,983 = 1,540,983 : x
  2. Step 2: Convert to fraction form
    700,507.50/1,540,983 = 1,540,983/x
  3. Step 3: Cross multiply
    700,507.50x = 1,540,983 × 1,540,983
  4. Step 4: Simplify right side
    700,507.50x = 2,374,628,606,289
  5. Step 5: Solve for x
    x = 2,374,628,606,289/700,507.50
  6. Step 6: Final answer
    x = 3,389,868.93

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.