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Finding the Third Proportional to 553,423 and 846,193

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Solution

The third proportional to 553,423 and 846,193 is: 1,293,843.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,423 : 846,193 = 846,193 : x
  2. Step 2: Convert to fraction form
    553,423/846,193 = 846,193/x
  3. Step 3: Cross multiply
    553,423x = 846,193 × 846,193
  4. Step 4: Simplify right side
    553,423x = 716,042,593,249
  5. Step 5: Solve for x
    x = 716,042,593,249/553,423
  6. Step 6: Final answer
    x = 1,293,843.21

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.