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Finding the Third Proportional to 2,176,983 and 4,642,690

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Solution

The third proportional to 2,176,983 and 4,642,690 is: 9,901,120.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,176,983 : 4,642,690 = 4,642,690 : x
  2. Step 2: Convert to fraction form
    2,176,983/4,642,690 = 4,642,690/x
  3. Step 3: Cross multiply
    2,176,983x = 4,642,690 × 4,642,690
  4. Step 4: Simplify right side
    2,176,983x = 21,554,570,436,100
  5. Step 5: Solve for x
    x = 21,554,570,436,100/2,176,983
  6. Step 6: Final answer
    x = 9,901,120.24

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.