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Finding the Third Proportional to 852,723 and 1,834,476

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Solution

The third proportional to 852,723 and 1,834,476 is: 3,946,536.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,723 : 1,834,476 = 1,834,476 : x
  2. Step 2: Convert to fraction form
    852,723/1,834,476 = 1,834,476/x
  3. Step 3: Cross multiply
    852,723x = 1,834,476 × 1,834,476
  4. Step 4: Simplify right side
    852,723x = 3,365,302,194,576
  5. Step 5: Solve for x
    x = 3,365,302,194,576/852,723
  6. Step 6: Final answer
    x = 3,946,536.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.