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Finding the Third Proportional to 476,969 and 1,036,769

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Solution

The third proportional to 476,969 and 1,036,769 is: 2,253,584.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,969 : 1,036,769 = 1,036,769 : x
  2. Step 2: Convert to fraction form
    476,969/1,036,769 = 1,036,769/x
  3. Step 3: Cross multiply
    476,969x = 1,036,769 × 1,036,769
  4. Step 4: Simplify right side
    476,969x = 1,074,889,959,361
  5. Step 5: Solve for x
    x = 1,074,889,959,361/476,969
  6. Step 6: Final answer
    x = 2,253,584.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.