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Finding the Third Proportional to 811,436 and 1,261,403

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Solution

The third proportional to 811,436 and 1,261,403 is: 1,960,890.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,436 : 1,261,403 = 1,261,403 : x
  2. Step 2: Convert to fraction form
    811,436/1,261,403 = 1,261,403/x
  3. Step 3: Cross multiply
    811,436x = 1,261,403 × 1,261,403
  4. Step 4: Simplify right side
    811,436x = 1,591,137,528,409
  5. Step 5: Solve for x
    x = 1,591,137,528,409/811,436
  6. Step 6: Final answer
    x = 1,960,890.97

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.