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Finding the Third Proportional to 780,241.50 and 1,703,367

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Solution

The third proportional to 780,241.50 and 1,703,367 is: 3,718,668.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,241.50 : 1,703,367 = 1,703,367 : x
  2. Step 2: Convert to fraction form
    780,241.50/1,703,367 = 1,703,367/x
  3. Step 3: Cross multiply
    780,241.50x = 1,703,367 × 1,703,367
  4. Step 4: Simplify right side
    780,241.50x = 2,901,459,136,689
  5. Step 5: Solve for x
    x = 2,901,459,136,689/780,241.50
  6. Step 6: Final answer
    x = 3,718,668.05

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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.