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Finding the Third Proportional to 976,178 and 1,790,356

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Solution

The third proportional to 976,178 and 1,790,356 is: 3,283,596.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    976,178 : 1,790,356 = 1,790,356 : x
  2. Step 2: Convert to fraction form
    976,178/1,790,356 = 1,790,356/x
  3. Step 3: Cross multiply
    976,178x = 1,790,356 × 1,790,356
  4. Step 4: Simplify right side
    976,178x = 3,205,374,606,736
  5. Step 5: Solve for x
    x = 3,205,374,606,736/976,178
  6. Step 6: Final answer
    x = 3,283,596.44

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.