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Finding the Third Proportional to 850,858 and 1,317,313

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Solution

The third proportional to 850,858 and 1,317,313 is: 2,039,486.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    850,858 : 1,317,313 = 1,317,313 : x
  2. Step 2: Convert to fraction form
    850,858/1,317,313 = 1,317,313/x
  3. Step 3: Cross multiply
    850,858x = 1,317,313 × 1,317,313
  4. Step 4: Simplify right side
    850,858x = 1,735,313,539,969
  5. Step 5: Solve for x
    x = 1,735,313,539,969/850,858
  6. Step 6: Final answer
    x = 2,039,486.66

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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.