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Finding the Third Proportional to 2,864,639.25 and 4,142,768.25

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Solution

The third proportional to 2,864,639.25 and 4,142,768.25 is: 5,991,165.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,864,639.25 : 4,142,768.25 = 4,142,768.25 : x
  2. Step 2: Convert to fraction form
    2,864,639.25/4,142,768.25 = 4,142,768.25/x
  3. Step 3: Cross multiply
    2,864,639.25x = 4,142,768.25 × 4,142,768.25
  4. Step 4: Simplify right side
    2,864,639.25x = 17,162,528,773,208.06
  5. Step 5: Solve for x
    x = 17,162,528,773,208.06/2,864,639.25
  6. Step 6: Final answer
    x = 5,991,165.82

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.