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Finding the Third Proportional to 808,412 and 1,760,347

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Solution

The third proportional to 808,412 and 1,760,347 is: 3,833,220.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    808,412 : 1,760,347 = 1,760,347 : x
  2. Step 2: Convert to fraction form
    808,412/1,760,347 = 1,760,347/x
  3. Step 3: Cross multiply
    808,412x = 1,760,347 × 1,760,347
  4. Step 4: Simplify right side
    808,412x = 3,098,821,560,409
  5. Step 5: Solve for x
    x = 3,098,821,560,409/808,412
  6. Step 6: Final answer
    x = 3,833,220.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.