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Finding the Third Proportional to 947,433 and 2,072,013

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Solution

The third proportional to 947,433 and 2,072,013 is: 4,531,442.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,433 : 2,072,013 = 2,072,013 : x
  2. Step 2: Convert to fraction form
    947,433/2,072,013 = 2,072,013/x
  3. Step 3: Cross multiply
    947,433x = 2,072,013 × 2,072,013
  4. Step 4: Simplify right side
    947,433x = 4,293,237,872,169
  5. Step 5: Solve for x
    x = 4,293,237,872,169/947,433
  6. Step 6: Final answer
    x = 4,531,442.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.