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Finding the Third Proportional to 492,848 and 1,074,148

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Solution

The third proportional to 492,848 and 1,074,148 is: 2,341,074.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,848 : 1,074,148 = 1,074,148 : x
  2. Step 2: Convert to fraction form
    492,848/1,074,148 = 1,074,148/x
  3. Step 3: Cross multiply
    492,848x = 1,074,148 × 1,074,148
  4. Step 4: Simplify right side
    492,848x = 1,153,793,925,904
  5. Step 5: Solve for x
    x = 1,153,793,925,904/492,848
  6. Step 6: Final answer
    x = 2,341,074.58

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.