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Finding the Third Proportional to 524,344 and 1,123,423

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Solution

The third proportional to 524,344 and 1,123,423 is: 2,406,968.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,344 : 1,123,423 = 1,123,423 : x
  2. Step 2: Convert to fraction form
    524,344/1,123,423 = 1,123,423/x
  3. Step 3: Cross multiply
    524,344x = 1,123,423 × 1,123,423
  4. Step 4: Simplify right side
    524,344x = 1,262,079,236,929
  5. Step 5: Solve for x
    x = 1,262,079,236,929/524,344
  6. Step 6: Final answer
    x = 2,406,968.02

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.