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Finding the Third Proportional to 916,470 and 2,012,256

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Solution

The third proportional to 916,470 and 2,012,256 is: 4,418,228.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    916,470 : 2,012,256 = 2,012,256 : x
  2. Step 2: Convert to fraction form
    916,470/2,012,256 = 2,012,256/x
  3. Step 3: Cross multiply
    916,470x = 2,012,256 × 2,012,256
  4. Step 4: Simplify right side
    916,470x = 4,049,174,209,536
  5. Step 5: Solve for x
    x = 4,049,174,209,536/916,470
  6. Step 6: Final answer
    x = 4,418,228.87

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