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Finding the Third Proportional to 733,644 and 1,514,430

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Solution

The third proportional to 733,644 and 1,514,430 is: 3,126,173.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,644 : 1,514,430 = 1,514,430 : x
  2. Step 2: Convert to fraction form
    733,644/1,514,430 = 1,514,430/x
  3. Step 3: Cross multiply
    733,644x = 1,514,430 × 1,514,430
  4. Step 4: Simplify right side
    733,644x = 2,293,498,224,900
  5. Step 5: Solve for x
    x = 2,293,498,224,900/733,644
  6. Step 6: Final answer
    x = 3,126,173.22

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.