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Finding the Third Proportional to 607,846 and 1,322,721

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Solution

The third proportional to 607,846 and 1,322,721 is: 2,878,345.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    607,846 : 1,322,721 = 1,322,721 : x
  2. Step 2: Convert to fraction form
    607,846/1,322,721 = 1,322,721/x
  3. Step 3: Cross multiply
    607,846x = 1,322,721 × 1,322,721
  4. Step 4: Simplify right side
    607,846x = 1,749,590,843,841
  5. Step 5: Solve for x
    x = 1,749,590,843,841/607,846
  6. Step 6: Final answer
    x = 2,878,345.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.