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Finding the Third Proportional to 417,099 and 910,653

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Solution

The third proportional to 417,099 and 910,653 is: 1,988,230.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,099 : 910,653 = 910,653 : x
  2. Step 2: Convert to fraction form
    417,099/910,653 = 910,653/x
  3. Step 3: Cross multiply
    417,099x = 910,653 × 910,653
  4. Step 4: Simplify right side
    417,099x = 829,288,886,409
  5. Step 5: Solve for x
    x = 829,288,886,409/417,099
  6. Step 6: Final answer
    x = 1,988,230.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.