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Finding the Third Proportional to 814,384 and 1,773,343

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Solution

The third proportional to 814,384 and 1,773,343 is: 3,861,501.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,384 : 1,773,343 = 1,773,343 : x
  2. Step 2: Convert to fraction form
    814,384/1,773,343 = 1,773,343/x
  3. Step 3: Cross multiply
    814,384x = 1,773,343 × 1,773,343
  4. Step 4: Simplify right side
    814,384x = 3,144,745,395,649
  5. Step 5: Solve for x
    x = 3,144,745,395,649/814,384
  6. Step 6: Final answer
    x = 3,861,501.94

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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.