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Finding the Third Proportional to 911,648 and 1,415,256

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Solution

The third proportional to 911,648 and 1,415,256 is: 2,197,064.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    911,648 : 1,415,256 = 1,415,256 : x
  2. Step 2: Convert to fraction form
    911,648/1,415,256 = 1,415,256/x
  3. Step 3: Cross multiply
    911,648x = 1,415,256 × 1,415,256
  4. Step 4: Simplify right side
    911,648x = 2,002,949,545,536
  5. Step 5: Solve for x
    x = 2,002,949,545,536/911,648
  6. Step 6: Final answer
    x = 2,197,064.60

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.