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Finding the Third Proportional to 1,419,690 and 2,146,461

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Solution

The third proportional to 1,419,690 and 2,146,461 is: 3,245,282.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419,690 : 2,146,461 = 2,146,461 : x
  2. Step 2: Convert to fraction form
    1,419,690/2,146,461 = 2,146,461/x
  3. Step 3: Cross multiply
    1,419,690x = 2,146,461 × 2,146,461
  4. Step 4: Simplify right side
    1,419,690x = 4,607,294,824,521
  5. Step 5: Solve for x
    x = 4,607,294,824,521/1,419,690
  6. Step 6: Final answer
    x = 3,245,282.30

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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.