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Finding the Third Proportional to 1,546,970 and 3,425,716

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Solution

The third proportional to 1,546,970 and 3,425,716 is: 7,586,139.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546,970 : 3,425,716 = 3,425,716 : x
  2. Step 2: Convert to fraction form
    1,546,970/3,425,716 = 3,425,716/x
  3. Step 3: Cross multiply
    1,546,970x = 3,425,716 × 3,425,716
  4. Step 4: Simplify right side
    1,546,970x = 11,735,530,112,656
  5. Step 5: Solve for x
    x = 11,735,530,112,656/1,546,970
  6. Step 6: Final answer
    x = 7,586,139.43

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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.