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Finding the Third Proportional to 703,567.69 and 1,659,208.13

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Solution

The third proportional to 703,567.69 and 1,659,208.13 is: 3,912,873.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,567.69 : 1,659,208.13 = 1,659,208.13 : x
  2. Step 2: Convert to fraction form
    703,567.69/1,659,208.13 = 1,659,208.13/x
  3. Step 3: Cross multiply
    703,567.69x = 1,659,208.13 × 1,659,208.13
  4. Step 4: Simplify right side
    703,567.69x = 2,752,971,602,066.02
  5. Step 5: Solve for x
    x = 2,752,971,602,066.02/703,567.69
  6. Step 6: Final answer
    x = 3,912,873.84

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.