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Finding the Third Proportional to 403,609 and 856,413

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Solution

The third proportional to 403,609 and 856,413 is: 1,817,212.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,609 : 856,413 = 856,413 : x
  2. Step 2: Convert to fraction form
    403,609/856,413 = 856,413/x
  3. Step 3: Cross multiply
    403,609x = 856,413 × 856,413
  4. Step 4: Simplify right side
    403,609x = 733,443,226,569
  5. Step 5: Solve for x
    x = 733,443,226,569/403,609
  6. Step 6: Final answer
    x = 1,817,212.27

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.