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Finding the Third Proportional to 767,256 and 1,656,660

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Solution

The third proportional to 767,256 and 1,656,660 is: 3,577,062.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,256 : 1,656,660 = 1,656,660 : x
  2. Step 2: Convert to fraction form
    767,256/1,656,660 = 1,656,660/x
  3. Step 3: Cross multiply
    767,256x = 1,656,660 × 1,656,660
  4. Step 4: Simplify right side
    767,256x = 2,744,522,355,600
  5. Step 5: Solve for x
    x = 2,744,522,355,600/767,256
  6. Step 6: Final answer
    x = 3,577,062.10

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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.