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Finding the Third Proportional to 700,147.50 and 1,526,997

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Solution

The third proportional to 700,147.50 and 1,526,997 is: 3,330,326.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,147.50 : 1,526,997 = 1,526,997 : x
  2. Step 2: Convert to fraction form
    700,147.50/1,526,997 = 1,526,997/x
  3. Step 3: Cross multiply
    700,147.50x = 1,526,997 × 1,526,997
  4. Step 4: Simplify right side
    700,147.50x = 2,331,719,838,009
  5. Step 5: Solve for x
    x = 2,331,719,838,009/700,147.50
  6. Step 6: Final answer
    x = 3,330,326.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.