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Finding the Third Proportional to 654,453 and 1,427,166

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Solution

The third proportional to 654,453 and 1,427,166 is: 3,112,221.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,453 : 1,427,166 = 1,427,166 : x
  2. Step 2: Convert to fraction form
    654,453/1,427,166 = 1,427,166/x
  3. Step 3: Cross multiply
    654,453x = 1,427,166 × 1,427,166
  4. Step 4: Simplify right side
    654,453x = 2,036,802,791,556
  5. Step 5: Solve for x
    x = 2,036,802,791,556/654,453
  6. Step 6: Final answer
    x = 3,112,221.64

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.