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Finding the Third Proportional to 1,197,344 and 1,808,456

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Solution

The third proportional to 1,197,344 and 1,808,456 is: 2,731,473.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197,344 : 1,808,456 = 1,808,456 : x
  2. Step 2: Convert to fraction form
    1,197,344/1,808,456 = 1,808,456/x
  3. Step 3: Cross multiply
    1,197,344x = 1,808,456 × 1,808,456
  4. Step 4: Simplify right side
    1,197,344x = 3,270,513,103,936
  5. Step 5: Solve for x
    x = 3,270,513,103,936/1,197,344
  6. Step 6: Final answer
    x = 2,731,473.25

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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.