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Finding the Third Proportional to 399,612 and 856,222

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Solution

The third proportional to 399,612 and 856,222 is: 1,834,569.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,612 : 856,222 = 856,222 : x
  2. Step 2: Convert to fraction form
    399,612/856,222 = 856,222/x
  3. Step 3: Cross multiply
    399,612x = 856,222 × 856,222
  4. Step 4: Simplify right side
    399,612x = 733,116,113,284
  5. Step 5: Solve for x
    x = 733,116,113,284/399,612
  6. Step 6: Final answer
    x = 1,834,569.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.