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Finding the Third Proportional to 1,301,625 and 2,803,281

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Solution

The third proportional to 1,301,625 and 2,803,281 is: 6,037,364.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301,625 : 2,803,281 = 2,803,281 : x
  2. Step 2: Convert to fraction form
    1,301,625/2,803,281 = 2,803,281/x
  3. Step 3: Cross multiply
    1,301,625x = 2,803,281 × 2,803,281
  4. Step 4: Simplify right side
    1,301,625x = 7,858,384,364,961
  5. Step 5: Solve for x
    x = 7,858,384,364,961/1,301,625
  6. Step 6: Final answer
    x = 6,037,364.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.