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Finding the Third Proportional to 898,322 and 1,946,184

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Solution

The third proportional to 898,322 and 1,946,184 is: 4,216,341.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    898,322 : 1,946,184 = 1,946,184 : x
  2. Step 2: Convert to fraction form
    898,322/1,946,184 = 1,946,184/x
  3. Step 3: Cross multiply
    898,322x = 1,946,184 × 1,946,184
  4. Step 4: Simplify right side
    898,322x = 3,787,632,161,856
  5. Step 5: Solve for x
    x = 3,787,632,161,856/898,322
  6. Step 6: Final answer
    x = 4,216,341.31

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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.