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Finding the Third Proportional to 1,313,664 and 2,843,232

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Solution

The third proportional to 1,313,664 and 2,843,232 is: 6,153,756.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313,664 : 2,843,232 = 2,843,232 : x
  2. Step 2: Convert to fraction form
    1,313,664/2,843,232 = 2,843,232/x
  3. Step 3: Cross multiply
    1,313,664x = 2,843,232 × 2,843,232
  4. Step 4: Simplify right side
    1,313,664x = 8,083,968,205,824
  5. Step 5: Solve for x
    x = 8,083,968,205,824/1,313,664
  6. Step 6: Final answer
    x = 6,153,756.37

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Why These Related Problems?

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