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Finding the Third Proportional to 652,321 and 1,322,171

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Solution

The third proportional to 652,321 and 1,322,171 is: 2,679,871.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,321 : 1,322,171 = 1,322,171 : x
  2. Step 2: Convert to fraction form
    652,321/1,322,171 = 1,322,171/x
  3. Step 3: Cross multiply
    652,321x = 1,322,171 × 1,322,171
  4. Step 4: Simplify right side
    652,321x = 1,748,136,153,241
  5. Step 5: Solve for x
    x = 1,748,136,153,241/652,321
  6. Step 6: Final answer
    x = 2,679,871.03

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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.