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Finding the Third Proportional to 536,728 and 1,148,624

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Solution

The third proportional to 536,728 and 1,148,624 is: 2,458,111.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,728 : 1,148,624 = 1,148,624 : x
  2. Step 2: Convert to fraction form
    536,728/1,148,624 = 1,148,624/x
  3. Step 3: Cross multiply
    536,728x = 1,148,624 × 1,148,624
  4. Step 4: Simplify right side
    536,728x = 1,319,337,093,376
  5. Step 5: Solve for x
    x = 1,319,337,093,376/536,728
  6. Step 6: Final answer
    x = 2,458,111.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.