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Finding the Third Proportional to 534,760 and 1,113,624

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Solution

The third proportional to 534,760 and 1,113,624 is: 2,319,093.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,760 : 1,113,624 = 1,113,624 : x
  2. Step 2: Convert to fraction form
    534,760/1,113,624 = 1,113,624/x
  3. Step 3: Cross multiply
    534,760x = 1,113,624 × 1,113,624
  4. Step 4: Simplify right side
    534,760x = 1,240,158,413,376
  5. Step 5: Solve for x
    x = 1,240,158,413,376/534,760
  6. Step 6: Final answer
    x = 2,319,093.45

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.