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Finding the Third Proportional to 2,426,032 and 3,805,261

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Solution

The third proportional to 2,426,032 and 3,805,261 is: 5,968,598.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,426,032 : 3,805,261 = 3,805,261 : x
  2. Step 2: Convert to fraction form
    2,426,032/3,805,261 = 3,805,261/x
  3. Step 3: Cross multiply
    2,426,032x = 3,805,261 × 3,805,261
  4. Step 4: Simplify right side
    2,426,032x = 14,480,011,278,121
  5. Step 5: Solve for x
    x = 14,480,011,278,121/2,426,032
  6. Step 6: Final answer
    x = 5,968,598.63

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.