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Finding the Third Proportional to 814,164 and 1,740,371

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Solution

The third proportional to 814,164 and 1,740,371 is: 3,720,247.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,164 : 1,740,371 = 1,740,371 : x
  2. Step 2: Convert to fraction form
    814,164/1,740,371 = 1,740,371/x
  3. Step 3: Cross multiply
    814,164x = 1,740,371 × 1,740,371
  4. Step 4: Simplify right side
    814,164x = 3,028,891,217,641
  5. Step 5: Solve for x
    x = 3,028,891,217,641/814,164
  6. Step 6: Final answer
    x = 3,720,247.05

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.