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Finding the Third Proportional to 701,026 and 1,525,071

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Solution

The third proportional to 701,026 and 1,525,071 is: 3,317,767.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,026 : 1,525,071 = 1,525,071 : x
  2. Step 2: Convert to fraction form
    701,026/1,525,071 = 1,525,071/x
  3. Step 3: Cross multiply
    701,026x = 1,525,071 × 1,525,071
  4. Step 4: Simplify right side
    701,026x = 2,325,841,555,041
  5. Step 5: Solve for x
    x = 2,325,841,555,041/701,026
  6. Step 6: Final answer
    x = 3,317,767.89

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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.