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Finding the Third Proportional to 2,131,456 and 3,211,264

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Solution

The third proportional to 2,131,456 and 3,211,264 is: 4,838,109.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,131,456 : 3,211,264 = 3,211,264 : x
  2. Step 2: Convert to fraction form
    2,131,456/3,211,264 = 3,211,264/x
  3. Step 3: Cross multiply
    2,131,456x = 3,211,264 × 3,211,264
  4. Step 4: Simplify right side
    2,131,456x = 10,312,216,477,696
  5. Step 5: Solve for x
    x = 10,312,216,477,696/2,131,456
  6. Step 6: Final answer
    x = 4,838,109.01

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.