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Finding the Third Proportional to 2,099,232 and 4,601,952

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Solution

The third proportional to 2,099,232 and 4,601,952 is: 10,088,433.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099,232 : 4,601,952 = 4,601,952 : x
  2. Step 2: Convert to fraction form
    2,099,232/4,601,952 = 4,601,952/x
  3. Step 3: Cross multiply
    2,099,232x = 4,601,952 × 4,601,952
  4. Step 4: Simplify right side
    2,099,232x = 21,177,962,210,304
  5. Step 5: Solve for x
    x = 21,177,962,210,304/2,099,232
  6. Step 6: Final answer
    x = 10,088,433.39

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.