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Finding the Third Proportional to 1,020,144 and 2,113,980

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Solution

The third proportional to 1,020,144 and 2,113,980 is: 4,380,667.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020,144 : 2,113,980 = 2,113,980 : x
  2. Step 2: Convert to fraction form
    1,020,144/2,113,980 = 2,113,980/x
  3. Step 3: Cross multiply
    1,020,144x = 2,113,980 × 2,113,980
  4. Step 4: Simplify right side
    1,020,144x = 4,468,911,440,400
  5. Step 5: Solve for x
    x = 4,468,911,440,400/1,020,144
  6. Step 6: Final answer
    x = 4,380,667.28

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.