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Finding the Third Proportional to 965,601 and 2,078,460

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Solution

The third proportional to 965,601 and 2,078,460 is: 4,473,893.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,601 : 2,078,460 = 2,078,460 : x
  2. Step 2: Convert to fraction form
    965,601/2,078,460 = 2,078,460/x
  3. Step 3: Cross multiply
    965,601x = 2,078,460 × 2,078,460
  4. Step 4: Simplify right side
    965,601x = 4,319,995,971,600
  5. Step 5: Solve for x
    x = 4,319,995,971,600/965,601
  6. Step 6: Final answer
    x = 4,473,893.43

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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.