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Finding the Third Proportional to 701,023.36 and 1,525,065.47

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Solution

The third proportional to 701,023.36 and 1,525,065.47 is: 3,317,756.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,023.36 : 1,525,065.47 = 1,525,065.47 : x
  2. Step 2: Convert to fraction form
    701,023.36/1,525,065.47 = 1,525,065.47/x
  3. Step 3: Cross multiply
    701,023.36x = 1,525,065.47 × 1,525,065.47
  4. Step 4: Simplify right side
    701,023.36x = 2,325,824,683,973.66
  5. Step 5: Solve for x
    x = 2,325,824,683,973.66/701,023.36
  6. Step 6: Final answer
    x = 3,317,756.32

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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.