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Finding the Third Proportional to 787,503 and 1,181,007

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Solution

The third proportional to 787,503 and 1,181,007 is: 1,771,139.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,503 : 1,181,007 = 1,181,007 : x
  2. Step 2: Convert to fraction form
    787,503/1,181,007 = 1,181,007/x
  3. Step 3: Cross multiply
    787,503x = 1,181,007 × 1,181,007
  4. Step 4: Simplify right side
    787,503x = 1,394,777,534,049
  5. Step 5: Solve for x
    x = 1,394,777,534,049/787,503
  6. Step 6: Final answer
    x = 1,771,139.33

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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.