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Finding the Third Proportional to 701,175 and 1,514,454

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Solution

The third proportional to 701,175 and 1,514,454 is: 3,271,039.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,175 : 1,514,454 = 1,514,454 : x
  2. Step 2: Convert to fraction form
    701,175/1,514,454 = 1,514,454/x
  3. Step 3: Cross multiply
    701,175x = 1,514,454 × 1,514,454
  4. Step 4: Simplify right side
    701,175x = 2,293,570,918,116
  5. Step 5: Solve for x
    x = 2,293,570,918,116/701,175
  6. Step 6: Final answer
    x = 3,271,039.21

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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.