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Finding the Third Proportional to 442,064 and 946,176

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Solution

The third proportional to 442,064 and 946,176 is: 2,025,157.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,064 : 946,176 = 946,176 : x
  2. Step 2: Convert to fraction form
    442,064/946,176 = 946,176/x
  3. Step 3: Cross multiply
    442,064x = 946,176 × 946,176
  4. Step 4: Simplify right side
    442,064x = 895,249,022,976
  5. Step 5: Solve for x
    x = 895,249,022,976/442,064
  6. Step 6: Final answer
    x = 2,025,157.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.