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Finding the Third Proportional to 752,672 and 1,152,992

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Solution

The third proportional to 752,672 and 1,152,992 is: 1,766,228.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    752,672 : 1,152,992 = 1,152,992 : x
  2. Step 2: Convert to fraction form
    752,672/1,152,992 = 1,152,992/x
  3. Step 3: Cross multiply
    752,672x = 1,152,992 × 1,152,992
  4. Step 4: Simplify right side
    752,672x = 1,329,390,552,064
  5. Step 5: Solve for x
    x = 1,329,390,552,064/752,672
  6. Step 6: Final answer
    x = 1,766,228.25

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.