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Finding the Third Proportional to 734,664 and 1,113,087

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Solution

The third proportional to 734,664 and 1,113,087 is: 1,686,434.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,664 : 1,113,087 = 1,113,087 : x
  2. Step 2: Convert to fraction form
    734,664/1,113,087 = 1,113,087/x
  3. Step 3: Cross multiply
    734,664x = 1,113,087 × 1,113,087
  4. Step 4: Simplify right side
    734,664x = 1,238,962,669,569
  5. Step 5: Solve for x
    x = 1,238,962,669,569/734,664
  6. Step 6: Final answer
    x = 1,686,434.44

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.