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Finding the Third Proportional to 2,124,296 and 4,586,656

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Solution

The third proportional to 2,124,296 and 4,586,656 is: 9,903,240.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124,296 : 4,586,656 = 4,586,656 : x
  2. Step 2: Convert to fraction form
    2,124,296/4,586,656 = 4,586,656/x
  3. Step 3: Cross multiply
    2,124,296x = 4,586,656 × 4,586,656
  4. Step 4: Simplify right side
    2,124,296x = 21,037,413,262,336
  5. Step 5: Solve for x
    x = 21,037,413,262,336/2,124,296
  6. Step 6: Final answer
    x = 9,903,240.07

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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.