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Finding the Third Proportional to 3,913,058.25 and 5,145,653.25

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Solution

The third proportional to 3,913,058.25 and 5,145,653.25 is: 6,766,509.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,913,058.25 : 5,145,653.25 = 5,145,653.25 : x
  2. Step 2: Convert to fraction form
    3,913,058.25/5,145,653.25 = 5,145,653.25/x
  3. Step 3: Cross multiply
    3,913,058.25x = 5,145,653.25 × 5,145,653.25
  4. Step 4: Simplify right side
    3,913,058.25x = 26,477,747,369,235.56
  5. Step 5: Solve for x
    x = 26,477,747,369,235.56/3,913,058.25
  6. Step 6: Final answer
    x = 6,766,509.90

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.