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Finding the Third Proportional to 917,864 and 1,290,272

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Solution

The third proportional to 917,864 and 1,290,272 is: 1,813,778.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    917,864 : 1,290,272 = 1,290,272 : x
  2. Step 2: Convert to fraction form
    917,864/1,290,272 = 1,290,272/x
  3. Step 3: Cross multiply
    917,864x = 1,290,272 × 1,290,272
  4. Step 4: Simplify right side
    917,864x = 1,664,801,833,984
  5. Step 5: Solve for x
    x = 1,664,801,833,984/917,864
  6. Step 6: Final answer
    x = 1,813,778.33

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.