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Finding the Third Proportional to 647,525 and 1,373,953

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Solution

The third proportional to 647,525 and 1,373,953 is: 2,915,326.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,525 : 1,373,953 = 1,373,953 : x
  2. Step 2: Convert to fraction form
    647,525/1,373,953 = 1,373,953/x
  3. Step 3: Cross multiply
    647,525x = 1,373,953 × 1,373,953
  4. Step 4: Simplify right side
    647,525x = 1,887,746,846,209
  5. Step 5: Solve for x
    x = 1,887,746,846,209/647,525
  6. Step 6: Final answer
    x = 2,915,326.58

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.