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Finding the Third Proportional to 456,296 and 1,066,100

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Solution

The third proportional to 456,296 and 1,066,100 is: 2,490,859.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,296 : 1,066,100 = 1,066,100 : x
  2. Step 2: Convert to fraction form
    456,296/1,066,100 = 1,066,100/x
  3. Step 3: Cross multiply
    456,296x = 1,066,100 × 1,066,100
  4. Step 4: Simplify right side
    456,296x = 1,136,569,210,000
  5. Step 5: Solve for x
    x = 1,136,569,210,000/456,296
  6. Step 6: Final answer
    x = 2,490,859.46

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.