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Finding the Third Proportional to 1,354,614 and 2,961,097.50

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Solution

The third proportional to 1,354,614 and 2,961,097.50 is: 6,472,765.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354,614 : 2,961,097.50 = 2,961,097.50 : x
  2. Step 2: Convert to fraction form
    1,354,614/2,961,097.50 = 2,961,097.50/x
  3. Step 3: Cross multiply
    1,354,614x = 2,961,097.50 × 2,961,097.50
  4. Step 4: Simplify right side
    1,354,614x = 8,768,098,404,506.25
  5. Step 5: Solve for x
    x = 8,768,098,404,506.25/1,354,614
  6. Step 6: Final answer
    x = 6,472,765.23

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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.