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Finding the Third Proportional to 524,255 and 1,070,515

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Solution

The third proportional to 524,255 and 1,070,515 is: 2,185,963.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,255 : 1,070,515 = 1,070,515 : x
  2. Step 2: Convert to fraction form
    524,255/1,070,515 = 1,070,515/x
  3. Step 3: Cross multiply
    524,255x = 1,070,515 × 1,070,515
  4. Step 4: Simplify right side
    524,255x = 1,146,002,365,225
  5. Step 5: Solve for x
    x = 1,146,002,365,225/524,255
  6. Step 6: Final answer
    x = 2,185,963.63

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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.