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Finding the Third Proportional to 534,928 and 786,012

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Solution

The third proportional to 534,928 and 786,012 is: 1,154,949.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,928 : 786,012 = 786,012 : x
  2. Step 2: Convert to fraction form
    534,928/786,012 = 786,012/x
  3. Step 3: Cross multiply
    534,928x = 786,012 × 786,012
  4. Step 4: Simplify right side
    534,928x = 617,814,864,144
  5. Step 5: Solve for x
    x = 617,814,864,144/534,928
  6. Step 6: Final answer
    x = 1,154,949.57

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.