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Finding the Third Proportional to 1,901,920 and 4,177,056

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Solution

The third proportional to 1,901,920 and 4,177,056 is: 9,173,780.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,901,920 : 4,177,056 = 4,177,056 : x
  2. Step 2: Convert to fraction form
    1,901,920/4,177,056 = 4,177,056/x
  3. Step 3: Cross multiply
    1,901,920x = 4,177,056 × 4,177,056
  4. Step 4: Simplify right side
    1,901,920x = 17,447,796,827,136
  5. Step 5: Solve for x
    x = 17,447,796,827,136/1,901,920
  6. Step 6: Final answer
    x = 9,173,780.61

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.