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Finding the Third Proportional to 713,032 and 1,549,016

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Solution

The third proportional to 713,032 and 1,549,016 is: 3,365,137.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,032 : 1,549,016 = 1,549,016 : x
  2. Step 2: Convert to fraction form
    713,032/1,549,016 = 1,549,016/x
  3. Step 3: Cross multiply
    713,032x = 1,549,016 × 1,549,016
  4. Step 4: Simplify right side
    713,032x = 2,399,450,568,256
  5. Step 5: Solve for x
    x = 2,399,450,568,256/713,032
  6. Step 6: Final answer
    x = 3,365,137.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.