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Finding the Third Proportional to 462,625 and 1,070,912

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Solution

The third proportional to 462,625 and 1,070,912 is: 2,479,011.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,625 : 1,070,912 = 1,070,912 : x
  2. Step 2: Convert to fraction form
    462,625/1,070,912 = 1,070,912/x
  3. Step 3: Cross multiply
    462,625x = 1,070,912 × 1,070,912
  4. Step 4: Simplify right side
    462,625x = 1,146,852,511,744
  5. Step 5: Solve for x
    x = 1,146,852,511,744/462,625
  6. Step 6: Final answer
    x = 2,479,011.10

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.