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Finding the Third Proportional to 892,340 and 1,947,148

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Solution

The third proportional to 892,340 and 1,947,148 is: 4,248,812.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    892,340 : 1,947,148 = 1,947,148 : x
  2. Step 2: Convert to fraction form
    892,340/1,947,148 = 1,947,148/x
  3. Step 3: Cross multiply
    892,340x = 1,947,148 × 1,947,148
  4. Step 4: Simplify right side
    892,340x = 3,791,385,333,904
  5. Step 5: Solve for x
    x = 3,791,385,333,904/892,340
  6. Step 6: Final answer
    x = 4,248,812.49

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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.