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Finding the Third Proportional to 421,856 and 910,012

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Solution

The third proportional to 421,856 and 910,012 is: 1,963,043.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,856 : 910,012 = 910,012 : x
  2. Step 2: Convert to fraction form
    421,856/910,012 = 910,012/x
  3. Step 3: Cross multiply
    421,856x = 910,012 × 910,012
  4. Step 4: Simplify right side
    421,856x = 828,121,840,144
  5. Step 5: Solve for x
    x = 828,121,840,144/421,856
  6. Step 6: Final answer
    x = 1,963,043.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.