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Finding the Third Proportional to 607,857.50 and 1,322,747.50

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Solution

The third proportional to 607,857.50 and 1,322,747.50 is: 2,878,406.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    607,857.50 : 1,322,747.50 = 1,322,747.50 : x
  2. Step 2: Convert to fraction form
    607,857.50/1,322,747.50 = 1,322,747.50/x
  3. Step 3: Cross multiply
    607,857.50x = 1,322,747.50 × 1,322,747.50
  4. Step 4: Simplify right side
    607,857.50x = 1,749,660,948,756.25
  5. Step 5: Solve for x
    x = 1,749,660,948,756.25/607,857.50
  6. Step 6: Final answer
    x = 2,878,406.45

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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.