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Finding the Third Proportional to 734,080 and 1,033,764

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Solution

The third proportional to 734,080 and 1,033,764 is: 1,455,792.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,080 : 1,033,764 = 1,033,764 : x
  2. Step 2: Convert to fraction form
    734,080/1,033,764 = 1,033,764/x
  3. Step 3: Cross multiply
    734,080x = 1,033,764 × 1,033,764
  4. Step 4: Simplify right side
    734,080x = 1,068,668,007,696
  5. Step 5: Solve for x
    x = 1,068,668,007,696/734,080
  6. Step 6: Final answer
    x = 1,455,792.29

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Why These Related Problems?

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