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Finding the Third Proportional to 1,144,471 and 1,769,313

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Solution

The third proportional to 1,144,471 and 1,769,313 is: 2,735,297.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144,471 : 1,769,313 = 1,769,313 : x
  2. Step 2: Convert to fraction form
    1,144,471/1,769,313 = 1,769,313/x
  3. Step 3: Cross multiply
    1,144,471x = 1,769,313 × 1,769,313
  4. Step 4: Simplify right side
    1,144,471x = 3,130,468,491,969
  5. Step 5: Solve for x
    x = 3,130,468,491,969/1,144,471
  6. Step 6: Final answer
    x = 2,735,297.35

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.