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Finding the Third Proportional to 597,462 and 946,509

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Solution

The third proportional to 597,462 and 946,509 is: 1,499,474.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,462 : 946,509 = 946,509 : x
  2. Step 2: Convert to fraction form
    597,462/946,509 = 946,509/x
  3. Step 3: Cross multiply
    597,462x = 946,509 × 946,509
  4. Step 4: Simplify right side
    597,462x = 895,879,287,081
  5. Step 5: Solve for x
    x = 895,879,287,081/597,462
  6. Step 6: Final answer
    x = 1,499,474.92

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.