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Finding the Third Proportional to 580,167,360 and 899,661,816

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Solution

The third proportional to 580,167,360 and 899,661,816 is: 1,395,099,826.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,167,360 : 899,661,816 = 899,661,816 : x
  2. Step 2: Convert to fraction form
    580,167,360/899,661,816 = 899,661,816/x
  3. Step 3: Cross multiply
    580,167,360x = 899,661,816 × 899,661,816
  4. Step 4: Simplify right side
    580,167,360x = 809,391,383,168,417,792
  5. Step 5: Solve for x
    x = 809,391,383,168,417,792/580,167,360
  6. Step 6: Final answer
    x = 1,395,099,826.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.