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Finding the Third Proportional to 699,606 and 1,546,228

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Solution

The third proportional to 699,606 and 1,546,228 is: 3,417,382.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,606 : 1,546,228 = 1,546,228 : x
  2. Step 2: Convert to fraction form
    699,606/1,546,228 = 1,546,228/x
  3. Step 3: Cross multiply
    699,606x = 1,546,228 × 1,546,228
  4. Step 4: Simplify right side
    699,606x = 2,390,821,027,984
  5. Step 5: Solve for x
    x = 2,390,821,027,984/699,606
  6. Step 6: Final answer
    x = 3,417,382.11

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.