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Finding the Third Proportional to 694,376 and 1,522,160

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Solution

The third proportional to 694,376 and 1,522,160 is: 3,336,767.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    694,376 : 1,522,160 = 1,522,160 : x
  2. Step 2: Convert to fraction form
    694,376/1,522,160 = 1,522,160/x
  3. Step 3: Cross multiply
    694,376x = 1,522,160 × 1,522,160
  4. Step 4: Simplify right side
    694,376x = 2,316,971,065,600
  5. Step 5: Solve for x
    x = 2,316,971,065,600/694,376
  6. Step 6: Final answer
    x = 3,336,767.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.