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Finding the Third Proportional to 1,965,456 and 4,286,664

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Solution

The third proportional to 1,965,456 and 4,286,664 is: 9,349,223.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965,456 : 4,286,664 = 4,286,664 : x
  2. Step 2: Convert to fraction form
    1,965,456/4,286,664 = 4,286,664/x
  3. Step 3: Cross multiply
    1,965,456x = 4,286,664 × 4,286,664
  4. Step 4: Simplify right side
    1,965,456x = 18,375,488,248,896
  5. Step 5: Solve for x
    x = 18,375,488,248,896/1,965,456
  6. Step 6: Final answer
    x = 9,349,223.92

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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.