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Finding the Third Proportional to 565,551 and 1,230,611

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Solution

The third proportional to 565,551 and 1,230,611 is: 2,677,748.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,551 : 1,230,611 = 1,230,611 : x
  2. Step 2: Convert to fraction form
    565,551/1,230,611 = 1,230,611/x
  3. Step 3: Cross multiply
    565,551x = 1,230,611 × 1,230,611
  4. Step 4: Simplify right side
    565,551x = 1,514,403,433,321
  5. Step 5: Solve for x
    x = 1,514,403,433,321/565,551
  6. Step 6: Final answer
    x = 2,677,748.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.