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Finding the Third Proportional to 1,453,312 and 2,268,256

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Solution

The third proportional to 1,453,312 and 2,268,256 is: 3,540,179.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,453,312 : 2,268,256 = 2,268,256 : x
  2. Step 2: Convert to fraction form
    1,453,312/2,268,256 = 2,268,256/x
  3. Step 3: Cross multiply
    1,453,312x = 2,268,256 × 2,268,256
  4. Step 4: Simplify right side
    1,453,312x = 5,144,985,281,536
  5. Step 5: Solve for x
    x = 5,144,985,281,536/1,453,312
  6. Step 6: Final answer
    x = 3,540,179.45

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.