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Finding the Third Proportional to 934,440 and 1,463,944

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Solution

The third proportional to 934,440 and 1,463,944 is: 2,293,493.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    934,440 : 1,463,944 = 1,463,944 : x
  2. Step 2: Convert to fraction form
    934,440/1,463,944 = 1,463,944/x
  3. Step 3: Cross multiply
    934,440x = 1,463,944 × 1,463,944
  4. Step 4: Simplify right side
    934,440x = 2,143,132,035,136
  5. Step 5: Solve for x
    x = 2,143,132,035,136/934,440
  6. Step 6: Final answer
    x = 2,293,493.47

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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.