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Finding the Third Proportional to 524,280 and 1,125,024

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Solution

The third proportional to 524,280 and 1,125,024 is: 2,414,127.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,280 : 1,125,024 = 1,125,024 : x
  2. Step 2: Convert to fraction form
    524,280/1,125,024 = 1,125,024/x
  3. Step 3: Cross multiply
    524,280x = 1,125,024 × 1,125,024
  4. Step 4: Simplify right side
    524,280x = 1,265,679,000,576
  5. Step 5: Solve for x
    x = 1,265,679,000,576/524,280
  6. Step 6: Final answer
    x = 2,414,127.95

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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.