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Finding the Third Proportional to 784,754 and 1,693,924

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Solution

The third proportional to 784,754 and 1,693,924 is: 3,656,405.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,754 : 1,693,924 = 1,693,924 : x
  2. Step 2: Convert to fraction form
    784,754/1,693,924 = 1,693,924/x
  3. Step 3: Cross multiply
    784,754x = 1,693,924 × 1,693,924
  4. Step 4: Simplify right side
    784,754x = 2,869,378,517,776
  5. Step 5: Solve for x
    x = 2,869,378,517,776/784,754
  6. Step 6: Final answer
    x = 3,656,405.09

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.