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Finding the Third Proportional to 734,130 and 1,033,830

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Solution

The third proportional to 734,130 and 1,033,830 is: 1,455,879.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,130 : 1,033,830 = 1,033,830 : x
  2. Step 2: Convert to fraction form
    734,130/1,033,830 = 1,033,830/x
  3. Step 3: Cross multiply
    734,130x = 1,033,830 × 1,033,830
  4. Step 4: Simplify right side
    734,130x = 1,068,804,468,900
  5. Step 5: Solve for x
    x = 1,068,804,468,900/734,130
  6. Step 6: Final answer
    x = 1,455,879.03

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.