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Finding the Third Proportional to 777,730 and 1,199,760

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Solution

The third proportional to 777,730 and 1,199,760 is: 1,850,801.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,730 : 1,199,760 = 1,199,760 : x
  2. Step 2: Convert to fraction form
    777,730/1,199,760 = 1,199,760/x
  3. Step 3: Cross multiply
    777,730x = 1,199,760 × 1,199,760
  4. Step 4: Simplify right side
    777,730x = 1,439,424,057,600
  5. Step 5: Solve for x
    x = 1,439,424,057,600/777,730
  6. Step 6: Final answer
    x = 1,850,801.77

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.