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Finding the Third Proportional to 414,852 and 910,056

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Solution

The third proportional to 414,852 and 910,056 is: 1,996,379.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,852 : 910,056 = 910,056 : x
  2. Step 2: Convert to fraction form
    414,852/910,056 = 910,056/x
  3. Step 3: Cross multiply
    414,852x = 910,056 × 910,056
  4. Step 4: Simplify right side
    414,852x = 828,201,923,136
  5. Step 5: Solve for x
    x = 828,201,923,136/414,852
  6. Step 6: Final answer
    x = 1,996,379.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.