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Finding the Third Proportional to 611,907 and 1,346,138

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Solution

The third proportional to 611,907 and 1,346,138 is: 2,961,377.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,907 : 1,346,138 = 1,346,138 : x
  2. Step 2: Convert to fraction form
    611,907/1,346,138 = 1,346,138/x
  3. Step 3: Cross multiply
    611,907x = 1,346,138 × 1,346,138
  4. Step 4: Simplify right side
    611,907x = 1,812,087,515,044
  5. Step 5: Solve for x
    x = 1,812,087,515,044/611,907
  6. Step 6: Final answer
    x = 2,961,377.33

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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.