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Finding the Third Proportional to 808,410 and 1,760,343

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Solution

The third proportional to 808,410 and 1,760,343 is: 3,833,212.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    808,410 : 1,760,343 = 1,760,343 : x
  2. Step 2: Convert to fraction form
    808,410/1,760,343 = 1,760,343/x
  3. Step 3: Cross multiply
    808,410x = 1,760,343 × 1,760,343
  4. Step 4: Simplify right side
    808,410x = 3,098,807,477,649
  5. Step 5: Solve for x
    x = 3,098,807,477,649/808,410
  6. Step 6: Final answer
    x = 3,833,212.70

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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.