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Finding the Third Proportional to 946,296 and 2,016,468

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Solution

The third proportional to 946,296 and 2,016,468 is: 4,296,904.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,296 : 2,016,468 = 2,016,468 : x
  2. Step 2: Convert to fraction form
    946,296/2,016,468 = 2,016,468/x
  3. Step 3: Cross multiply
    946,296x = 2,016,468 × 2,016,468
  4. Step 4: Simplify right side
    946,296x = 4,066,143,195,024
  5. Step 5: Solve for x
    x = 4,066,143,195,024/946,296
  6. Step 6: Final answer
    x = 4,296,904.13

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.