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Finding the Third Proportional to 3,082,297.50 and 4,908,836.25

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Solution

The third proportional to 3,082,297.50 and 4,908,836.25 is: 7,817,763.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,082,297.50 : 4,908,836.25 = 4,908,836.25 : x
  2. Step 2: Convert to fraction form
    3,082,297.50/4,908,836.25 = 4,908,836.25/x
  3. Step 3: Cross multiply
    3,082,297.50x = 4,908,836.25 × 4,908,836.25
  4. Step 4: Simplify right side
    3,082,297.50x = 24,096,673,329,314.06
  5. Step 5: Solve for x
    x = 24,096,673,329,314.06/3,082,297.50
  6. Step 6: Final answer
    x = 7,817,763.64

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.