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Finding the Third Proportional to 748,224 and 1,811,376

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Solution

The third proportional to 748,224 and 1,811,376 is: 4,385,161.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,224 : 1,811,376 = 1,811,376 : x
  2. Step 2: Convert to fraction form
    748,224/1,811,376 = 1,811,376/x
  3. Step 3: Cross multiply
    748,224x = 1,811,376 × 1,811,376
  4. Step 4: Simplify right side
    748,224x = 3,281,083,013,376
  5. Step 5: Solve for x
    x = 3,281,083,013,376/748,224
  6. Step 6: Final answer
    x = 4,385,161.41

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.