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Finding the Third Proportional to 920,634 and 1,969,196

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Solution

The third proportional to 920,634 and 1,969,196 is: 4,212,024.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    920,634 : 1,969,196 = 1,969,196 : x
  2. Step 2: Convert to fraction form
    920,634/1,969,196 = 1,969,196/x
  3. Step 3: Cross multiply
    920,634x = 1,969,196 × 1,969,196
  4. Step 4: Simplify right side
    920,634x = 3,877,732,886,416
  5. Step 5: Solve for x
    x = 3,877,732,886,416/920,634
  6. Step 6: Final answer
    x = 4,212,024.42

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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.