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Finding the Third Proportional to 705,168 and 1,522,550

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Solution

The third proportional to 705,168 and 1,522,550 is: 3,287,384.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,168 : 1,522,550 = 1,522,550 : x
  2. Step 2: Convert to fraction form
    705,168/1,522,550 = 1,522,550/x
  3. Step 3: Cross multiply
    705,168x = 1,522,550 × 1,522,550
  4. Step 4: Simplify right side
    705,168x = 2,318,158,502,500
  5. Step 5: Solve for x
    x = 2,318,158,502,500/705,168
  6. Step 6: Final answer
    x = 3,287,384.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.