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Finding the Third Proportional to 671,971 and 1,450,836

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Solution

The third proportional to 671,971 and 1,450,836 is: 3,132,464.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,971 : 1,450,836 = 1,450,836 : x
  2. Step 2: Convert to fraction form
    671,971/1,450,836 = 1,450,836/x
  3. Step 3: Cross multiply
    671,971x = 1,450,836 × 1,450,836
  4. Step 4: Simplify right side
    671,971x = 2,104,925,098,896
  5. Step 5: Solve for x
    x = 2,104,925,098,896/671,971
  6. Step 6: Final answer
    x = 3,132,464.20

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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.