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Finding the Third Proportional to 751,052 and 1,670,024

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Solution

The third proportional to 751,052 and 1,670,024 is: 3,713,431.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    751,052 : 1,670,024 = 1,670,024 : x
  2. Step 2: Convert to fraction form
    751,052/1,670,024 = 1,670,024/x
  3. Step 3: Cross multiply
    751,052x = 1,670,024 × 1,670,024
  4. Step 4: Simplify right side
    751,052x = 2,788,980,160,576
  5. Step 5: Solve for x
    x = 2,788,980,160,576/751,052
  6. Step 6: Final answer
    x = 3,713,431.51

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.