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Finding the Third Proportional to 736,850 and 1,171,706

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Solution

The third proportional to 736,850 and 1,171,706 is: 1,863,194.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,850 : 1,171,706 = 1,171,706 : x
  2. Step 2: Convert to fraction form
    736,850/1,171,706 = 1,171,706/x
  3. Step 3: Cross multiply
    736,850x = 1,171,706 × 1,171,706
  4. Step 4: Simplify right side
    736,850x = 1,372,894,950,436
  5. Step 5: Solve for x
    x = 1,372,894,950,436/736,850
  6. Step 6: Final answer
    x = 1,863,194.61

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.