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Finding the Third Proportional to 431,049 and 942,354

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Solution

The third proportional to 431,049 and 942,354 is: 2,060,162.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,049 : 942,354 = 942,354 : x
  2. Step 2: Convert to fraction form
    431,049/942,354 = 942,354/x
  3. Step 3: Cross multiply
    431,049x = 942,354 × 942,354
  4. Step 4: Simplify right side
    431,049x = 888,031,061,316
  5. Step 5: Solve for x
    x = 888,031,061,316/431,049
  6. Step 6: Final answer
    x = 2,060,162.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.