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Finding the Third Proportional to 771,720 and 1,206,972

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Solution

The third proportional to 771,720 and 1,206,972 is: 1,887,707.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,720 : 1,206,972 = 1,206,972 : x
  2. Step 2: Convert to fraction form
    771,720/1,206,972 = 1,206,972/x
  3. Step 3: Cross multiply
    771,720x = 1,206,972 × 1,206,972
  4. Step 4: Simplify right side
    771,720x = 1,456,781,408,784
  5. Step 5: Solve for x
    x = 1,456,781,408,784/771,720
  6. Step 6: Final answer
    x = 1,887,707.21

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.