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Finding the Third Proportional to 785,070 and 1,245,144

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Solution

The third proportional to 785,070 and 1,245,144 is: 1,974,834.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,070 : 1,245,144 = 1,245,144 : x
  2. Step 2: Convert to fraction form
    785,070/1,245,144 = 1,245,144/x
  3. Step 3: Cross multiply
    785,070x = 1,245,144 × 1,245,144
  4. Step 4: Simplify right side
    785,070x = 1,550,383,580,736
  5. Step 5: Solve for x
    x = 1,550,383,580,736/785,070
  6. Step 6: Final answer
    x = 1,974,834.83

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.