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Finding the Third Proportional to 739,616 and 1,514,280

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Solution

The third proportional to 739,616 and 1,514,280 is: 3,100,316.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    739,616 : 1,514,280 = 1,514,280 : x
  2. Step 2: Convert to fraction form
    739,616/1,514,280 = 1,514,280/x
  3. Step 3: Cross multiply
    739,616x = 1,514,280 × 1,514,280
  4. Step 4: Simplify right side
    739,616x = 2,293,043,918,400
  5. Step 5: Solve for x
    x = 2,293,043,918,400/739,616
  6. Step 6: Final answer
    x = 3,100,316.81

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.