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Finding the Third Proportional to 832,041.75 and 1,703,512.50

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Solution

The third proportional to 832,041.75 and 1,703,512.50 is: 3,487,751.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,041.75 : 1,703,512.50 = 1,703,512.50 : x
  2. Step 2: Convert to fraction form
    832,041.75/1,703,512.50 = 1,703,512.50/x
  3. Step 3: Cross multiply
    832,041.75x = 1,703,512.50 × 1,703,512.50
  4. Step 4: Simplify right side
    832,041.75x = 2,901,954,837,656.25
  5. Step 5: Solve for x
    x = 2,901,954,837,656.25/832,041.75
  6. Step 6: Final answer
    x = 3,487,751.47

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.