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Finding the Third Proportional to 1,021,738 and 2,190,276

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Solution

The third proportional to 1,021,738 and 2,190,276 is: 4,695,243.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021,738 : 2,190,276 = 2,190,276 : x
  2. Step 2: Convert to fraction form
    1,021,738/2,190,276 = 2,190,276/x
  3. Step 3: Cross multiply
    1,021,738x = 2,190,276 × 2,190,276
  4. Step 4: Simplify right side
    1,021,738x = 4,797,308,956,176
  5. Step 5: Solve for x
    x = 4,797,308,956,176/1,021,738
  6. Step 6: Final answer
    x = 4,695,243.75

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