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Finding the Third Proportional to 405,393 and 938,511

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Solution

The third proportional to 405,393 and 938,511 is: 2,172,713.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,393 : 938,511 = 938,511 : x
  2. Step 2: Convert to fraction form
    405,393/938,511 = 938,511/x
  3. Step 3: Cross multiply
    405,393x = 938,511 × 938,511
  4. Step 4: Simplify right side
    405,393x = 880,802,897,121
  5. Step 5: Solve for x
    x = 880,802,897,121/405,393
  6. Step 6: Final answer
    x = 2,172,713.63

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.