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Finding the Third Proportional to 457,953 and 992,178

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Solution

The third proportional to 457,953 and 992,178 is: 2,149,603.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,953 : 992,178 = 992,178 : x
  2. Step 2: Convert to fraction form
    457,953/992,178 = 992,178/x
  3. Step 3: Cross multiply
    457,953x = 992,178 × 992,178
  4. Step 4: Simplify right side
    457,953x = 984,417,183,684
  5. Step 5: Solve for x
    x = 984,417,183,684/457,953
  6. Step 6: Final answer
    x = 2,149,603.09

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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.