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Finding the Third Proportional to 426,170 and 910,660

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Solution

The third proportional to 426,170 and 910,660 is: 1,945,940.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,170 : 910,660 = 910,660 : x
  2. Step 2: Convert to fraction form
    426,170/910,660 = 910,660/x
  3. Step 3: Cross multiply
    426,170x = 910,660 × 910,660
  4. Step 4: Simplify right side
    426,170x = 829,301,635,600
  5. Step 5: Solve for x
    x = 829,301,635,600/426,170
  6. Step 6: Final answer
    x = 1,945,940.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.