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Finding the Third Proportional to 648,654.33 and 1,419,488.30

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Solution

The third proportional to 648,654.33 and 1,419,488.30 is: 3,106,349.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,654.33 : 1,419,488.30 = 1,419,488.30 : x
  2. Step 2: Convert to fraction form
    648,654.33/1,419,488.30 = 1,419,488.30/x
  3. Step 3: Cross multiply
    648,654.33x = 1,419,488.30 × 1,419,488.30
  4. Step 4: Simplify right side
    648,654.33x = 2,014,947,024,965.09
  5. Step 5: Solve for x
    x = 2,014,947,024,965.09/648,654.33
  6. Step 6: Final answer
    x = 3,106,349.46

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.