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Finding the Third Proportional to 600,461 and 1,319,019

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Solution

The third proportional to 600,461 and 1,319,019 is: 2,897,458.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,461 : 1,319,019 = 1,319,019 : x
  2. Step 2: Convert to fraction form
    600,461/1,319,019 = 1,319,019/x
  3. Step 3: Cross multiply
    600,461x = 1,319,019 × 1,319,019
  4. Step 4: Simplify right side
    600,461x = 1,739,811,122,361
  5. Step 5: Solve for x
    x = 1,739,811,122,361/600,461
  6. Step 6: Final answer
    x = 2,897,458.99

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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.