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Finding the Third Proportional to 720,212 and 1,570,016

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Solution

The third proportional to 720,212 and 1,570,016 is: 3,422,534.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    720,212 : 1,570,016 = 1,570,016 : x
  2. Step 2: Convert to fraction form
    720,212/1,570,016 = 1,570,016/x
  3. Step 3: Cross multiply
    720,212x = 1,570,016 × 1,570,016
  4. Step 4: Simplify right side
    720,212x = 2,464,950,240,256
  5. Step 5: Solve for x
    x = 2,464,950,240,256/720,212
  6. Step 6: Final answer
    x = 3,422,534.25

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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.