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Finding the Third Proportional to 2,164,380 and 3,364,461

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Solution

The third proportional to 2,164,380 and 3,364,461 is: 5,229,949.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164,380 : 3,364,461 = 3,364,461 : x
  2. Step 2: Convert to fraction form
    2,164,380/3,364,461 = 3,364,461/x
  3. Step 3: Cross multiply
    2,164,380x = 3,364,461 × 3,364,461
  4. Step 4: Simplify right side
    2,164,380x = 11,319,597,820,521
  5. Step 5: Solve for x
    x = 11,319,597,820,521/2,164,380
  6. Step 6: Final answer
    x = 5,229,949.37

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