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Finding the Third Proportional to 852,508.50 and 1,846,911

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Solution

The third proportional to 852,508.50 and 1,846,911 is: 4,001,227.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,508.50 : 1,846,911 = 1,846,911 : x
  2. Step 2: Convert to fraction form
    852,508.50/1,846,911 = 1,846,911/x
  3. Step 3: Cross multiply
    852,508.50x = 1,846,911 × 1,846,911
  4. Step 4: Simplify right side
    852,508.50x = 3,411,080,241,921
  5. Step 5: Solve for x
    x = 3,411,080,241,921/852,508.50
  6. Step 6: Final answer
    x = 4,001,227.25

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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.