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Finding the Third Proportional to 902,317 and 2,006,377

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Solution

The third proportional to 902,317 and 2,006,377 is: 4,461,346.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,317 : 2,006,377 = 2,006,377 : x
  2. Step 2: Convert to fraction form
    902,317/2,006,377 = 2,006,377/x
  3. Step 3: Cross multiply
    902,317x = 2,006,377 × 2,006,377
  4. Step 4: Simplify right side
    902,317x = 4,025,548,666,129
  5. Step 5: Solve for x
    x = 4,025,548,666,129/902,317
  6. Step 6: Final answer
    x = 4,461,346.36

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.