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Finding the Third Proportional to 755,728 and 1,596,768

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Solution

The third proportional to 755,728 and 1,596,768 is: 3,373,790.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    755,728 : 1,596,768 = 1,596,768 : x
  2. Step 2: Convert to fraction form
    755,728/1,596,768 = 1,596,768/x
  3. Step 3: Cross multiply
    755,728x = 1,596,768 × 1,596,768
  4. Step 4: Simplify right side
    755,728x = 2,549,668,045,824
  5. Step 5: Solve for x
    x = 2,549,668,045,824/755,728
  6. Step 6: Final answer
    x = 3,373,790.63

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.