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Finding the Third Proportional to 652,266 and 1,322,973

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Solution

The third proportional to 652,266 and 1,322,973 is: 2,683,349.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,266 : 1,322,973 = 1,322,973 : x
  2. Step 2: Convert to fraction form
    652,266/1,322,973 = 1,322,973/x
  3. Step 3: Cross multiply
    652,266x = 1,322,973 × 1,322,973
  4. Step 4: Simplify right side
    652,266x = 1,750,257,558,729
  5. Step 5: Solve for x
    x = 1,750,257,558,729/652,266
  6. Step 6: Final answer
    x = 2,683,349.37

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.