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Finding the Third Proportional to 2,127,146 and 4,553,296

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Solution

The third proportional to 2,127,146 and 4,553,296 is: 9,746,629.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,127,146 : 4,553,296 = 4,553,296 : x
  2. Step 2: Convert to fraction form
    2,127,146/4,553,296 = 4,553,296/x
  3. Step 3: Cross multiply
    2,127,146x = 4,553,296 × 4,553,296
  4. Step 4: Simplify right side
    2,127,146x = 20,732,504,463,616
  5. Step 5: Solve for x
    x = 20,732,504,463,616/2,127,146
  6. Step 6: Final answer
    x = 9,746,629.74

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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.