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Finding the Third Proportional to 734,463 and 1,123,431

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Solution

The third proportional to 734,463 and 1,123,431 is: 1,718,394.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,463 : 1,123,431 = 1,123,431 : x
  2. Step 2: Convert to fraction form
    734,463/1,123,431 = 1,123,431/x
  3. Step 3: Cross multiply
    734,463x = 1,123,431 × 1,123,431
  4. Step 4: Simplify right side
    734,463x = 1,262,097,211,761
  5. Step 5: Solve for x
    x = 1,262,097,211,761/734,463
  6. Step 6: Final answer
    x = 1,718,394.54

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.