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Finding the Third Proportional to 699,600 and 1,546,216

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Solution

The third proportional to 699,600 and 1,546,216 is: 3,417,358.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,600 : 1,546,216 = 1,546,216 : x
  2. Step 2: Convert to fraction form
    699,600/1,546,216 = 1,546,216/x
  3. Step 3: Cross multiply
    699,600x = 1,546,216 × 1,546,216
  4. Step 4: Simplify right side
    699,600x = 2,390,783,918,656
  5. Step 5: Solve for x
    x = 2,390,783,918,656/699,600
  6. Step 6: Final answer
    x = 3,417,358.37

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