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Finding the Third Proportional to 786,231 and 1,178,118

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Solution

The third proportional to 786,231 and 1,178,118 is: 1,765,336.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,231 : 1,178,118 = 1,178,118 : x
  2. Step 2: Convert to fraction form
    786,231/1,178,118 = 1,178,118/x
  3. Step 3: Cross multiply
    786,231x = 1,178,118 × 1,178,118
  4. Step 4: Simplify right side
    786,231x = 1,387,962,021,924
  5. Step 5: Solve for x
    x = 1,387,962,021,924/786,231
  6. Step 6: Final answer
    x = 1,765,336.17

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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.