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Finding the Third Proportional to 1,254,254.63 and 1,851,857.44

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Solution

The third proportional to 1,254,254.63 and 1,851,857.44 is: 2,734,194.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254,254.63 : 1,851,857.44 = 1,851,857.44 : x
  2. Step 2: Convert to fraction form
    1,254,254.63/1,851,857.44 = 1,851,857.44/x
  3. Step 3: Cross multiply
    1,254,254.63x = 1,851,857.44 × 1,851,857.44
  4. Step 4: Simplify right side
    1,254,254.63x = 3,429,375,968,824.07
  5. Step 5: Solve for x
    x = 3,429,375,968,824.07/1,254,254.63
  6. Step 6: Final answer
    x = 2,734,194.40

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.