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Finding the Third Proportional to 898,424 and 1,946,251

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Solution

The third proportional to 898,424 and 1,946,251 is: 4,216,152.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    898,424 : 1,946,251 = 1,946,251 : x
  2. Step 2: Convert to fraction form
    898,424/1,946,251 = 1,946,251/x
  3. Step 3: Cross multiply
    898,424x = 1,946,251 × 1,946,251
  4. Step 4: Simplify right side
    898,424x = 3,787,892,955,001
  5. Step 5: Solve for x
    x = 3,787,892,955,001/898,424
  6. Step 6: Final answer
    x = 4,216,152.90

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.