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Finding the Third Proportional to 601,698 and 1,321,476

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Solution

The third proportional to 601,698 and 1,321,476 is: 2,902,284.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,698 : 1,321,476 = 1,321,476 : x
  2. Step 2: Convert to fraction form
    601,698/1,321,476 = 1,321,476/x
  3. Step 3: Cross multiply
    601,698x = 1,321,476 × 1,321,476
  4. Step 4: Simplify right side
    601,698x = 1,746,298,818,576
  5. Step 5: Solve for x
    x = 1,746,298,818,576/601,698
  6. Step 6: Final answer
    x = 2,902,284.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.