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Finding the Third Proportional to 698,472 and 1,524,884

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Solution

The third proportional to 698,472 and 1,524,884 is: 3,329,082.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,472 : 1,524,884 = 1,524,884 : x
  2. Step 2: Convert to fraction form
    698,472/1,524,884 = 1,524,884/x
  3. Step 3: Cross multiply
    698,472x = 1,524,884 × 1,524,884
  4. Step 4: Simplify right side
    698,472x = 2,325,271,213,456
  5. Step 5: Solve for x
    x = 2,325,271,213,456/698,472
  6. Step 6: Final answer
    x = 3,329,082.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.