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Finding the Third Proportional to 734,799 and 1,124,016

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Solution

The third proportional to 734,799 and 1,124,016 is: 1,719,398.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,799 : 1,124,016 = 1,124,016 : x
  2. Step 2: Convert to fraction form
    734,799/1,124,016 = 1,124,016/x
  3. Step 3: Cross multiply
    734,799x = 1,124,016 × 1,124,016
  4. Step 4: Simplify right side
    734,799x = 1,263,411,968,256
  5. Step 5: Solve for x
    x = 1,263,411,968,256/734,799
  6. Step 6: Final answer
    x = 1,719,398.05

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.