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Finding the Third Proportional to 706,827.75 and 1,525,739.25

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Solution

The third proportional to 706,827.75 and 1,525,739.25 is: 3,293,419.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,827.75 : 1,525,739.25 = 1,525,739.25 : x
  2. Step 2: Convert to fraction form
    706,827.75/1,525,739.25 = 1,525,739.25/x
  3. Step 3: Cross multiply
    706,827.75x = 1,525,739.25 × 1,525,739.25
  4. Step 4: Simplify right side
    706,827.75x = 2,327,880,258,990.56
  5. Step 5: Solve for x
    x = 2,327,880,258,990.56/706,827.75
  6. Step 6: Final answer
    x = 3,293,419.45

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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.