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Finding the Third Proportional to 434,221 and 942,714

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Solution

The third proportional to 434,221 and 942,714 is: 2,046,675.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,221 : 942,714 = 942,714 : x
  2. Step 2: Convert to fraction form
    434,221/942,714 = 942,714/x
  3. Step 3: Cross multiply
    434,221x = 942,714 × 942,714
  4. Step 4: Simplify right side
    434,221x = 888,709,685,796
  5. Step 5: Solve for x
    x = 888,709,685,796/434,221
  6. Step 6: Final answer
    x = 2,046,675.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.