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Finding the Third Proportional to 597,552 and 1,295,568

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Solution

The third proportional to 597,552 and 1,295,568 is: 2,808,954.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,552 : 1,295,568 = 1,295,568 : x
  2. Step 2: Convert to fraction form
    597,552/1,295,568 = 1,295,568/x
  3. Step 3: Cross multiply
    597,552x = 1,295,568 × 1,295,568
  4. Step 4: Simplify right side
    597,552x = 1,678,496,442,624
  5. Step 5: Solve for x
    x = 1,678,496,442,624/597,552
  6. Step 6: Final answer
    x = 2,808,954.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.