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Finding the Third Proportional to 934,728 and 2,033,478

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Solution

The third proportional to 934,728 and 2,033,478 is: 4,423,781.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    934,728 : 2,033,478 = 2,033,478 : x
  2. Step 2: Convert to fraction form
    934,728/2,033,478 = 2,033,478/x
  3. Step 3: Cross multiply
    934,728x = 2,033,478 × 2,033,478
  4. Step 4: Simplify right side
    934,728x = 4,135,032,776,484
  5. Step 5: Solve for x
    x = 4,135,032,776,484/934,728
  6. Step 6: Final answer
    x = 4,423,781.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.