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Finding the Third Proportional to 734,208 and 1,129,344

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Solution

The third proportional to 734,208 and 1,129,344 is: 1,737,134.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,208 : 1,129,344 = 1,129,344 : x
  2. Step 2: Convert to fraction form
    734,208/1,129,344 = 1,129,344/x
  3. Step 3: Cross multiply
    734,208x = 1,129,344 × 1,129,344
  4. Step 4: Simplify right side
    734,208x = 1,275,417,870,336
  5. Step 5: Solve for x
    x = 1,275,417,870,336/734,208
  6. Step 6: Final answer
    x = 1,737,134.26

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.