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Finding the Third Proportional to 422,076 and 922,488

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Solution

The third proportional to 422,076 and 922,488 is: 2,016,186.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,076 : 922,488 = 922,488 : x
  2. Step 2: Convert to fraction form
    422,076/922,488 = 922,488/x
  3. Step 3: Cross multiply
    422,076x = 922,488 × 922,488
  4. Step 4: Simplify right side
    422,076x = 850,984,110,144
  5. Step 5: Solve for x
    x = 850,984,110,144/422,076
  6. Step 6: Final answer
    x = 2,016,186.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.