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Finding the Third Proportional to 514,080 and 1,090,368

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Solution

The third proportional to 514,080 and 1,090,368 is: 2,312,679.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,080 : 1,090,368 = 1,090,368 : x
  2. Step 2: Convert to fraction form
    514,080/1,090,368 = 1,090,368/x
  3. Step 3: Cross multiply
    514,080x = 1,090,368 × 1,090,368
  4. Step 4: Simplify right side
    514,080x = 1,188,902,375,424
  5. Step 5: Solve for x
    x = 1,188,902,375,424/514,080
  6. Step 6: Final answer
    x = 2,312,679.69

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.