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Finding the Third Proportional to 610,918 and 1,342,029

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Solution

The third proportional to 610,918 and 1,342,029 is: 2,948,090.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,918 : 1,342,029 = 1,342,029 : x
  2. Step 2: Convert to fraction form
    610,918/1,342,029 = 1,342,029/x
  3. Step 3: Cross multiply
    610,918x = 1,342,029 × 1,342,029
  4. Step 4: Simplify right side
    610,918x = 1,801,041,836,841
  5. Step 5: Solve for x
    x = 1,801,041,836,841/610,918
  6. Step 6: Final answer
    x = 2,948,090.97

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.