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Finding the Third Proportional to 1,514,943 and 2,411,739

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Solution

The third proportional to 1,514,943 and 2,411,739 is: 3,839,408.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,514,943 : 2,411,739 = 2,411,739 : x
  2. Step 2: Convert to fraction form
    1,514,943/2,411,739 = 2,411,739/x
  3. Step 3: Cross multiply
    1,514,943x = 2,411,739 × 2,411,739
  4. Step 4: Simplify right side
    1,514,943x = 5,816,485,004,121
  5. Step 5: Solve for x
    x = 5,816,485,004,121/1,514,943
  6. Step 6: Final answer
    x = 3,839,408.48

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.