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Finding the Third Proportional to 524,484 and 1,125,423

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Solution

The third proportional to 524,484 and 1,125,423 is: 2,414,900.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,484 : 1,125,423 = 1,125,423 : x
  2. Step 2: Convert to fraction form
    524,484/1,125,423 = 1,125,423/x
  3. Step 3: Cross multiply
    524,484x = 1,125,423 × 1,125,423
  4. Step 4: Simplify right side
    524,484x = 1,266,576,928,929
  5. Step 5: Solve for x
    x = 1,266,576,928,929/524,484
  6. Step 6: Final answer
    x = 2,414,900.99

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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.