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Finding the Third Proportional to 3,211,454.25 and 4,696,623

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Solution

The third proportional to 3,211,454.25 and 4,696,623 is: 6,868,622.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,211,454.25 : 4,696,623 = 4,696,623 : x
  2. Step 2: Convert to fraction form
    3,211,454.25/4,696,623 = 4,696,623/x
  3. Step 3: Cross multiply
    3,211,454.25x = 4,696,623 × 4,696,623
  4. Step 4: Simplify right side
    3,211,454.25x = 22,058,267,604,129
  5. Step 5: Solve for x
    x = 22,058,267,604,129/3,211,454.25
  6. Step 6: Final answer
    x = 6,868,622.71

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.