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Finding the Third Proportional to 850,842 and 1,317,291

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Solution

The third proportional to 850,842 and 1,317,291 is: 2,039,456.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    850,842 : 1,317,291 = 1,317,291 : x
  2. Step 2: Convert to fraction form
    850,842/1,317,291 = 1,317,291/x
  3. Step 3: Cross multiply
    850,842x = 1,317,291 × 1,317,291
  4. Step 4: Simplify right side
    850,842x = 1,735,255,578,681
  5. Step 5: Solve for x
    x = 1,735,255,578,681/850,842
  6. Step 6: Final answer
    x = 2,039,456.89

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.