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Finding the Third Proportional to 1,525,824 and 3,254,256

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Solution

The third proportional to 1,525,824 and 3,254,256 is: 6,940,631.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,525,824 : 3,254,256 = 3,254,256 : x
  2. Step 2: Convert to fraction form
    1,525,824/3,254,256 = 3,254,256/x
  3. Step 3: Cross multiply
    1,525,824x = 3,254,256 × 3,254,256
  4. Step 4: Simplify right side
    1,525,824x = 10,590,182,113,536
  5. Step 5: Solve for x
    x = 10,590,182,113,536/1,525,824
  6. Step 6: Final answer
    x = 6,940,631.50

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.