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Finding the Third Proportional to 1,456,971 and 2,205,777

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Solution

The third proportional to 1,456,971 and 2,205,777 is: 3,339,429.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456,971 : 2,205,777 = 2,205,777 : x
  2. Step 2: Convert to fraction form
    1,456,971/2,205,777 = 2,205,777/x
  3. Step 3: Cross multiply
    1,456,971x = 2,205,777 × 2,205,777
  4. Step 4: Simplify right side
    1,456,971x = 4,865,452,173,729
  5. Step 5: Solve for x
    x = 4,865,452,173,729/1,456,971
  6. Step 6: Final answer
    x = 3,339,429.66

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.