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Finding the Third Proportional to 2,531,816 and 3,617,904

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Solution

The third proportional to 2,531,816 and 3,617,904 is: 5,169,897.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,531,816 : 3,617,904 = 3,617,904 : x
  2. Step 2: Convert to fraction form
    2,531,816/3,617,904 = 3,617,904/x
  3. Step 3: Cross multiply
    2,531,816x = 3,617,904 × 3,617,904
  4. Step 4: Simplify right side
    2,531,816x = 13,089,229,353,216
  5. Step 5: Solve for x
    x = 13,089,229,353,216/2,531,816
  6. Step 6: Final answer
    x = 5,169,897.56

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.