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Finding the Third Proportional to 787,284 and 1,180,720.13

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Solution

The third proportional to 787,284 and 1,180,720.13 is: 1,770,771.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,284 : 1,180,720.13 = 1,180,720.13 : x
  2. Step 2: Convert to fraction form
    787,284/1,180,720.13 = 1,180,720.13/x
  3. Step 3: Cross multiply
    787,284x = 1,180,720.13 × 1,180,720.13
  4. Step 4: Simplify right side
    787,284x = 1,394,100,013,580.02
  5. Step 5: Solve for x
    x = 1,394,100,013,580.02/787,284
  6. Step 6: Final answer
    x = 1,770,771.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.