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Finding the Third Proportional to 413,935 and 893,190

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Solution

The third proportional to 413,935 and 893,190 is: 1,927,327.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,935 : 893,190 = 893,190 : x
  2. Step 2: Convert to fraction form
    413,935/893,190 = 893,190/x
  3. Step 3: Cross multiply
    413,935x = 893,190 × 893,190
  4. Step 4: Simplify right side
    413,935x = 797,788,376,100
  5. Step 5: Solve for x
    x = 797,788,376,100/413,935
  6. Step 6: Final answer
    x = 1,927,327.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.