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Finding the Third Proportional to 601,080 and 1,269,228

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Solution

The third proportional to 601,080 and 1,269,228 is: 2,680,075.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,080 : 1,269,228 = 1,269,228 : x
  2. Step 2: Convert to fraction form
    601,080/1,269,228 = 1,269,228/x
  3. Step 3: Cross multiply
    601,080x = 1,269,228 × 1,269,228
  4. Step 4: Simplify right side
    601,080x = 1,610,939,715,984
  5. Step 5: Solve for x
    x = 1,610,939,715,984/601,080
  6. Step 6: Final answer
    x = 2,680,075.39

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.