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Finding the Third Proportional to 2,830,471 and 5,923,382

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Solution

The third proportional to 2,830,471 and 5,923,382 is: 12,395,977.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,830,471 : 5,923,382 = 5,923,382 : x
  2. Step 2: Convert to fraction form
    2,830,471/5,923,382 = 5,923,382/x
  3. Step 3: Cross multiply
    2,830,471x = 5,923,382 × 5,923,382
  4. Step 4: Simplify right side
    2,830,471x = 35,086,454,317,924
  5. Step 5: Solve for x
    x = 35,086,454,317,924/2,830,471
  6. Step 6: Final answer
    x = 12,395,977.32

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.