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Finding the Third Proportional to 409,611 and 865,950

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Solution

The third proportional to 409,611 and 865,950 is: 1,830,686.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,611 : 865,950 = 865,950 : x
  2. Step 2: Convert to fraction form
    409,611/865,950 = 865,950/x
  3. Step 3: Cross multiply
    409,611x = 865,950 × 865,950
  4. Step 4: Simplify right side
    409,611x = 749,869,402,500
  5. Step 5: Solve for x
    x = 749,869,402,500/409,611
  6. Step 6: Final answer
    x = 1,830,686.68

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.