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Finding the Third Proportional to 734,305 and 1,122,562

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Solution

The third proportional to 734,305 and 1,122,562 is: 1,716,106.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,305 : 1,122,562 = 1,122,562 : x
  2. Step 2: Convert to fraction form
    734,305/1,122,562 = 1,122,562/x
  3. Step 3: Cross multiply
    734,305x = 1,122,562 × 1,122,562
  4. Step 4: Simplify right side
    734,305x = 1,260,145,443,844
  5. Step 5: Solve for x
    x = 1,260,145,443,844/734,305
  6. Step 6: Final answer
    x = 1,716,106.31

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