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Finding the Third Proportional to 947,653 and 2,237,085

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Solution

The third proportional to 947,653 and 2,237,085 is: 5,280,993.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,653 : 2,237,085 = 2,237,085 : x
  2. Step 2: Convert to fraction form
    947,653/2,237,085 = 2,237,085/x
  3. Step 3: Cross multiply
    947,653x = 2,237,085 × 2,237,085
  4. Step 4: Simplify right side
    947,653x = 5,004,549,297,225
  5. Step 5: Solve for x
    x = 5,004,549,297,225/947,653
  6. Step 6: Final answer
    x = 5,280,993.46

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.