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Finding the Third Proportional to 1,366,418 and 1,946,491

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Solution

The third proportional to 1,366,418 and 1,946,491 is: 2,772,817.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,366,418 : 1,946,491 = 1,946,491 : x
  2. Step 2: Convert to fraction form
    1,366,418/1,946,491 = 1,946,491/x
  3. Step 3: Cross multiply
    1,366,418x = 1,946,491 × 1,946,491
  4. Step 4: Simplify right side
    1,366,418x = 3,788,827,213,081
  5. Step 5: Solve for x
    x = 3,788,827,213,081/1,366,418
  6. Step 6: Final answer
    x = 2,772,817.11

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.