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Finding the Third Proportional to 601,922 and 1,346,436

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Solution

The third proportional to 601,922 and 1,346,436 is: 3,011,835.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,922 : 1,346,436 = 1,346,436 : x
  2. Step 2: Convert to fraction form
    601,922/1,346,436 = 1,346,436/x
  3. Step 3: Cross multiply
    601,922x = 1,346,436 × 1,346,436
  4. Step 4: Simplify right side
    601,922x = 1,812,889,902,096
  5. Step 5: Solve for x
    x = 1,812,889,902,096/601,922
  6. Step 6: Final answer
    x = 3,011,835.26

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.