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Finding the Third Proportional to 781,920 and 1,152,144

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Solution

The third proportional to 781,920 and 1,152,144 is: 1,697,661.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    781,920 : 1,152,144 = 1,152,144 : x
  2. Step 2: Convert to fraction form
    781,920/1,152,144 = 1,152,144/x
  3. Step 3: Cross multiply
    781,920x = 1,152,144 × 1,152,144
  4. Step 4: Simplify right side
    781,920x = 1,327,435,796,736
  5. Step 5: Solve for x
    x = 1,327,435,796,736/781,920
  6. Step 6: Final answer
    x = 1,697,661.90

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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.