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Finding the Third Proportional to 959,211 and 1,478,187

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Solution

The third proportional to 959,211 and 1,478,187 is: 2,277,952.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    959,211 : 1,478,187 = 1,478,187 : x
  2. Step 2: Convert to fraction form
    959,211/1,478,187 = 1,478,187/x
  3. Step 3: Cross multiply
    959,211x = 1,478,187 × 1,478,187
  4. Step 4: Simplify right side
    959,211x = 2,185,036,806,969
  5. Step 5: Solve for x
    x = 2,185,036,806,969/959,211
  6. Step 6: Final answer
    x = 2,277,952.20

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.