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Finding the Third Proportional to 524,257 and 1,070,519

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Solution

The third proportional to 524,257 and 1,070,519 is: 2,185,971.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,257 : 1,070,519 = 1,070,519 : x
  2. Step 2: Convert to fraction form
    524,257/1,070,519 = 1,070,519/x
  3. Step 3: Cross multiply
    524,257x = 1,070,519 × 1,070,519
  4. Step 4: Simplify right side
    524,257x = 1,146,010,929,361
  5. Step 5: Solve for x
    x = 1,146,010,929,361/524,257
  6. Step 6: Final answer
    x = 2,185,971.63

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.