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Finding the Third Proportional to 427,251 and 909,726

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Solution

The third proportional to 427,251 and 909,726 is: 1,937,037.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,251 : 909,726 = 909,726 : x
  2. Step 2: Convert to fraction form
    427,251/909,726 = 909,726/x
  3. Step 3: Cross multiply
    427,251x = 909,726 × 909,726
  4. Step 4: Simplify right side
    427,251x = 827,601,395,076
  5. Step 5: Solve for x
    x = 827,601,395,076/427,251
  6. Step 6: Final answer
    x = 1,937,037.94

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.