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Finding the Third Proportional to 3,617,381.25 and 5,598,632.25

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Solution

The third proportional to 3,617,381.25 and 5,598,632.25 is: 8,665,020.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,617,381.25 : 5,598,632.25 = 5,598,632.25 : x
  2. Step 2: Convert to fraction form
    3,617,381.25/5,598,632.25 = 5,598,632.25/x
  3. Step 3: Cross multiply
    3,617,381.25x = 5,598,632.25 × 5,598,632.25
  4. Step 4: Simplify right side
    3,617,381.25x = 31,344,683,070,740.06
  5. Step 5: Solve for x
    x = 31,344,683,070,740.06/3,617,381.25
  6. Step 6: Final answer
    x = 8,665,020.61

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.