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Finding the Third Proportional to 415,116 and 913,176

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Solution

The third proportional to 415,116 and 913,176 is: 2,008,812.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,116 : 913,176 = 913,176 : x
  2. Step 2: Convert to fraction form
    415,116/913,176 = 913,176/x
  3. Step 3: Cross multiply
    415,116x = 913,176 × 913,176
  4. Step 4: Simplify right side
    415,116x = 833,890,406,976
  5. Step 5: Solve for x
    x = 833,890,406,976/415,116
  6. Step 6: Final answer
    x = 2,008,812.98

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.