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Finding the Third Proportional to 374,031 and 801,642

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Solution

The third proportional to 374,031 and 801,642 is: 1,718,119.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,031 : 801,642 = 801,642 : x
  2. Step 2: Convert to fraction form
    374,031/801,642 = 801,642/x
  3. Step 3: Cross multiply
    374,031x = 801,642 × 801,642
  4. Step 4: Simplify right side
    374,031x = 642,629,896,164
  5. Step 5: Solve for x
    x = 642,629,896,164/374,031
  6. Step 6: Final answer
    x = 1,718,119.34

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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.