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Finding the Third Proportional to 457,064 and 992,752

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Solution

The third proportional to 457,064 and 992,752 is: 2,156,276.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,064 : 992,752 = 992,752 : x
  2. Step 2: Convert to fraction form
    457,064/992,752 = 992,752/x
  3. Step 3: Cross multiply
    457,064x = 992,752 × 992,752
  4. Step 4: Simplify right side
    457,064x = 985,556,533,504
  5. Step 5: Solve for x
    x = 985,556,533,504/457,064
  6. Step 6: Final answer
    x = 2,156,276.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.