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Finding the Third Proportional to 2,347,600 and 5,145,236

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Solution

The third proportional to 2,347,600 and 5,145,236 is: 11,276,816.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,347,600 : 5,145,236 = 5,145,236 : x
  2. Step 2: Convert to fraction form
    2,347,600/5,145,236 = 5,145,236/x
  3. Step 3: Cross multiply
    2,347,600x = 5,145,236 × 5,145,236
  4. Step 4: Simplify right side
    2,347,600x = 26,473,453,495,696
  5. Step 5: Solve for x
    x = 26,473,453,495,696/2,347,600
  6. Step 6: Final answer
    x = 11,276,816.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.