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Finding the Third Proportional to 898,416.56 and 1,946,217.38

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Solution

The third proportional to 898,416.56 and 1,946,217.38 is: 4,216,042.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    898,416.56 : 1,946,217.38 = 1,946,217.38 : x
  2. Step 2: Convert to fraction form
    898,416.56/1,946,217.38 = 1,946,217.38/x
  3. Step 3: Cross multiply
    898,416.56x = 1,946,217.38 × 1,946,217.38
  4. Step 4: Simplify right side
    898,416.56x = 3,787,762,070,751.89
  5. Step 5: Solve for x
    x = 3,787,762,070,751.89/898,416.56
  6. Step 6: Final answer
    x = 4,216,042.12

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Why These Related Problems?

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