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Finding the Third Proportional to 421,851 and 937,014

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Solution

The third proportional to 421,851 and 937,014 is: 2,081,292.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,851 : 937,014 = 937,014 : x
  2. Step 2: Convert to fraction form
    421,851/937,014 = 937,014/x
  3. Step 3: Cross multiply
    421,851x = 937,014 × 937,014
  4. Step 4: Simplify right side
    421,851x = 877,995,236,196
  5. Step 5: Solve for x
    x = 877,995,236,196/421,851
  6. Step 6: Final answer
    x = 2,081,292.30

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.