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Finding the Third Proportional to 785,120 and 1,703,008

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Solution

The third proportional to 785,120 and 1,703,008 is: 3,694,003.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,120 : 1,703,008 = 1,703,008 : x
  2. Step 2: Convert to fraction form
    785,120/1,703,008 = 1,703,008/x
  3. Step 3: Cross multiply
    785,120x = 1,703,008 × 1,703,008
  4. Step 4: Simplify right side
    785,120x = 2,900,236,248,064
  5. Step 5: Solve for x
    x = 2,900,236,248,064/785,120
  6. Step 6: Final answer
    x = 3,694,003.78

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.