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Finding the Third Proportional to 524,251 and 1,070,507

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Solution

The third proportional to 524,251 and 1,070,507 is: 2,185,947.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,251 : 1,070,507 = 1,070,507 : x
  2. Step 2: Convert to fraction form
    524,251/1,070,507 = 1,070,507/x
  3. Step 3: Cross multiply
    524,251x = 1,070,507 × 1,070,507
  4. Step 4: Simplify right side
    524,251x = 1,145,985,237,049
  5. Step 5: Solve for x
    x = 1,145,985,237,049/524,251
  6. Step 6: Final answer
    x = 2,185,947.64

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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.