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Finding the Third Proportional to 698,454 and 1,524,848

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Solution

The third proportional to 698,454 and 1,524,848 is: 3,329,011.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,454 : 1,524,848 = 1,524,848 : x
  2. Step 2: Convert to fraction form
    698,454/1,524,848 = 1,524,848/x
  3. Step 3: Cross multiply
    698,454x = 1,524,848 × 1,524,848
  4. Step 4: Simplify right side
    698,454x = 2,325,161,423,104
  5. Step 5: Solve for x
    x = 2,325,161,423,104/698,454
  6. Step 6: Final answer
    x = 3,329,011.54

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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.