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Finding the Third Proportional to 499,232 and 1,077,190

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Solution

The third proportional to 499,232 and 1,077,190 is: 2,324,246.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,232 : 1,077,190 = 1,077,190 : x
  2. Step 2: Convert to fraction form
    499,232/1,077,190 = 1,077,190/x
  3. Step 3: Cross multiply
    499,232x = 1,077,190 × 1,077,190
  4. Step 4: Simplify right side
    499,232x = 1,160,338,296,100
  5. Step 5: Solve for x
    x = 1,160,338,296,100/499,232
  6. Step 6: Final answer
    x = 2,324,246.64

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.