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Finding the Third Proportional to 428,184 and 922,140

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Solution

The third proportional to 428,184 and 922,140 is: 1,985,927.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,184 : 922,140 = 922,140 : x
  2. Step 2: Convert to fraction form
    428,184/922,140 = 922,140/x
  3. Step 3: Cross multiply
    428,184x = 922,140 × 922,140
  4. Step 4: Simplify right side
    428,184x = 850,342,179,600
  5. Step 5: Solve for x
    x = 850,342,179,600/428,184
  6. Step 6: Final answer
    x = 1,985,927.03

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.