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Finding the Third Proportional to 934,472 and 1,463,986

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Solution

The third proportional to 934,472 and 1,463,986 is: 2,293,546.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    934,472 : 1,463,986 = 1,463,986 : x
  2. Step 2: Convert to fraction form
    934,472/1,463,986 = 1,463,986/x
  3. Step 3: Cross multiply
    934,472x = 1,463,986 × 1,463,986
  4. Step 4: Simplify right side
    934,472x = 2,143,255,008,196
  5. Step 5: Solve for x
    x = 2,143,255,008,196/934,472
  6. Step 6: Final answer
    x = 2,293,546.52

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.