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Finding the Third Proportional to 663,213 and 1,420,980

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Solution

The third proportional to 663,213 and 1,420,980 is: 3,044,548.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,213 : 1,420,980 = 1,420,980 : x
  2. Step 2: Convert to fraction form
    663,213/1,420,980 = 1,420,980/x
  3. Step 3: Cross multiply
    663,213x = 1,420,980 × 1,420,980
  4. Step 4: Simplify right side
    663,213x = 2,019,184,160,400
  5. Step 5: Solve for x
    x = 2,019,184,160,400/663,213
  6. Step 6: Final answer
    x = 3,044,548.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.