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Finding the Third Proportional to 1,108,296 and 2,368,224

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Solution

The third proportional to 1,108,296 and 2,368,224 is: 5,060,457.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108,296 : 2,368,224 = 2,368,224 : x
  2. Step 2: Convert to fraction form
    1,108,296/2,368,224 = 2,368,224/x
  3. Step 3: Cross multiply
    1,108,296x = 2,368,224 × 2,368,224
  4. Step 4: Simplify right side
    1,108,296x = 5,608,484,914,176
  5. Step 5: Solve for x
    x = 5,608,484,914,176/1,108,296
  6. Step 6: Final answer
    x = 5,060,457.60

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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.