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Finding the Third Proportional to 3,281,639.06 and 4,967,732.53

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Solution

The third proportional to 3,281,639.06 and 4,967,732.53 is: 7,520,134.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,281,639.06 : 4,967,732.53 = 4,967,732.53 : x
  2. Step 2: Convert to fraction form
    3,281,639.06/4,967,732.53 = 4,967,732.53/x
  3. Step 3: Cross multiply
    3,281,639.06x = 4,967,732.53 × 4,967,732.53
  4. Step 4: Simplify right side
    3,281,639.06x = 24,678,366,502,039.53
  5. Step 5: Solve for x
    x = 24,678,366,502,039.53/3,281,639.06
  6. Step 6: Final answer
    x = 7,520,134.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.