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Finding the Third Proportional to 2,531,580 and 5,157,168

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Solution

The third proportional to 2,531,580 and 5,157,168 is: 10,505,842.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,531,580 : 5,157,168 = 5,157,168 : x
  2. Step 2: Convert to fraction form
    2,531,580/5,157,168 = 5,157,168/x
  3. Step 3: Cross multiply
    2,531,580x = 5,157,168 × 5,157,168
  4. Step 4: Simplify right side
    2,531,580x = 26,596,381,780,224
  5. Step 5: Solve for x
    x = 26,596,381,780,224/2,531,580
  6. Step 6: Final answer
    x = 10,505,842.90

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.