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Finding the Third Proportional to 781,924 and 1,152,150

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Solution

The third proportional to 781,924 and 1,152,150 is: 1,697,670.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    781,924 : 1,152,150 = 1,152,150 : x
  2. Step 2: Convert to fraction form
    781,924/1,152,150 = 1,152,150/x
  3. Step 3: Cross multiply
    781,924x = 1,152,150 × 1,152,150
  4. Step 4: Simplify right side
    781,924x = 1,327,449,622,500
  5. Step 5: Solve for x
    x = 1,327,449,622,500/781,924
  6. Step 6: Final answer
    x = 1,697,670.90

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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.