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Finding the Third Proportional to 976,341 and 1,467,336

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Solution

The third proportional to 976,341 and 1,467,336 is: 2,205,248.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    976,341 : 1,467,336 = 1,467,336 : x
  2. Step 2: Convert to fraction form
    976,341/1,467,336 = 1,467,336/x
  3. Step 3: Cross multiply
    976,341x = 1,467,336 × 1,467,336
  4. Step 4: Simplify right side
    976,341x = 2,153,074,936,896
  5. Step 5: Solve for x
    x = 2,153,074,936,896/976,341
  6. Step 6: Final answer
    x = 2,205,248.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.