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Finding the Third Proportional to 399,582 and 856,026

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Solution

The third proportional to 399,582 and 856,026 is: 1,833,867.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,582 : 856,026 = 856,026 : x
  2. Step 2: Convert to fraction form
    399,582/856,026 = 856,026/x
  3. Step 3: Cross multiply
    399,582x = 856,026 × 856,026
  4. Step 4: Simplify right side
    399,582x = 732,780,512,676
  5. Step 5: Solve for x
    x = 732,780,512,676/399,582
  6. Step 6: Final answer
    x = 1,833,867.67

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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.