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Finding the Third Proportional to 597,268 and 1,289,548

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Solution

The third proportional to 597,268 and 1,289,548 is: 2,784,234.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,268 : 1,289,548 = 1,289,548 : x
  2. Step 2: Convert to fraction form
    597,268/1,289,548 = 1,289,548/x
  3. Step 3: Cross multiply
    597,268x = 1,289,548 × 1,289,548
  4. Step 4: Simplify right side
    597,268x = 1,662,934,044,304
  5. Step 5: Solve for x
    x = 1,662,934,044,304/597,268
  6. Step 6: Final answer
    x = 2,784,234.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.