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Finding the Third Proportional to 920,648 and 1,969,224

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Solution

The third proportional to 920,648 and 1,969,224 is: 4,212,080.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    920,648 : 1,969,224 = 1,969,224 : x
  2. Step 2: Convert to fraction form
    920,648/1,969,224 = 1,969,224/x
  3. Step 3: Cross multiply
    920,648x = 1,969,224 × 1,969,224
  4. Step 4: Simplify right side
    920,648x = 3,877,843,162,176
  5. Step 5: Solve for x
    x = 3,877,843,162,176/920,648
  6. Step 6: Final answer
    x = 4,212,080.15

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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.