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Finding the Third Proportional to 702,452 and 1,523,003

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Solution

The third proportional to 702,452 and 1,523,003 is: 3,302,059.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,452 : 1,523,003 = 1,523,003 : x
  2. Step 2: Convert to fraction form
    702,452/1,523,003 = 1,523,003/x
  3. Step 3: Cross multiply
    702,452x = 1,523,003 × 1,523,003
  4. Step 4: Simplify right side
    702,452x = 2,319,538,138,009
  5. Step 5: Solve for x
    x = 2,319,538,138,009/702,452
  6. Step 6: Final answer
    x = 3,302,059.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.