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Finding the Third Proportional to 736,784 and 1,321,936

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Solution

The third proportional to 736,784 and 1,321,936 is: 2,371,814.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,784 : 1,321,936 = 1,321,936 : x
  2. Step 2: Convert to fraction form
    736,784/1,321,936 = 1,321,936/x
  3. Step 3: Cross multiply
    736,784x = 1,321,936 × 1,321,936
  4. Step 4: Simplify right side
    736,784x = 1,747,514,788,096
  5. Step 5: Solve for x
    x = 1,747,514,788,096/736,784
  6. Step 6: Final answer
    x = 2,371,814.25

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.