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Finding the Third Proportional to 671,320 and 1,459,512

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Solution

The third proportional to 671,320 and 1,459,512 is: 3,173,114.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,320 : 1,459,512 = 1,459,512 : x
  2. Step 2: Convert to fraction form
    671,320/1,459,512 = 1,459,512/x
  3. Step 3: Cross multiply
    671,320x = 1,459,512 × 1,459,512
  4. Step 4: Simplify right side
    671,320x = 2,130,175,278,144
  5. Step 5: Solve for x
    x = 2,130,175,278,144/671,320
  6. Step 6: Final answer
    x = 3,173,114.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.