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Finding the Third Proportional to 720,568,456 and 1,461,187,576

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Solution

The third proportional to 720,568,456 and 1,461,187,576 is: 2,963,034,413.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    720,568,456 : 1,461,187,576 = 1,461,187,576 : x
  2. Step 2: Convert to fraction form
    720,568,456/1,461,187,576 = 1,461,187,576/x
  3. Step 3: Cross multiply
    720,568,456x = 1,461,187,576 × 1,461,187,576
  4. Step 4: Simplify right side
    720,568,456x = 2,135,069,132,256,755,712
  5. Step 5: Solve for x
    x = 2,135,069,132,256,755,712/720,568,456
  6. Step 6: Final answer
    x = 2,963,034,413.29

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.