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Finding the Third Proportional to 631,212 and 1,358,664

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Solution

The third proportional to 631,212 and 1,358,664 is: 2,924,481.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,212 : 1,358,664 = 1,358,664 : x
  2. Step 2: Convert to fraction form
    631,212/1,358,664 = 1,358,664/x
  3. Step 3: Cross multiply
    631,212x = 1,358,664 × 1,358,664
  4. Step 4: Simplify right side
    631,212x = 1,845,967,864,896
  5. Step 5: Solve for x
    x = 1,845,967,864,896/631,212
  6. Step 6: Final answer
    x = 2,924,481.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.