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Finding the Third Proportional to 737,161 and 1,607,714

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Solution

The third proportional to 737,161 and 1,607,714 is: 3,506,349.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    737,161 : 1,607,714 = 1,607,714 : x
  2. Step 2: Convert to fraction form
    737,161/1,607,714 = 1,607,714/x
  3. Step 3: Cross multiply
    737,161x = 1,607,714 × 1,607,714
  4. Step 4: Simplify right side
    737,161x = 2,584,744,305,796
  5. Step 5: Solve for x
    x = 2,584,744,305,796/737,161
  6. Step 6: Final answer
    x = 3,506,349.77

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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.