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Finding the Third Proportional to 613,906 and 1,447,156

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Solution

The third proportional to 613,906 and 1,447,156 is: 3,411,369.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,906 : 1,447,156 = 1,447,156 : x
  2. Step 2: Convert to fraction form
    613,906/1,447,156 = 1,447,156/x
  3. Step 3: Cross multiply
    613,906x = 1,447,156 × 1,447,156
  4. Step 4: Simplify right side
    613,906x = 2,094,260,488,336
  5. Step 5: Solve for x
    x = 2,094,260,488,336/613,906
  6. Step 6: Final answer
    x = 3,411,369.96

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.