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Finding the Third Proportional to 927,321 and 1,954,273.50

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Solution

The third proportional to 927,321 and 1,954,273.50 is: 4,118,514.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    927,321 : 1,954,273.50 = 1,954,273.50 : x
  2. Step 2: Convert to fraction form
    927,321/1,954,273.50 = 1,954,273.50/x
  3. Step 3: Cross multiply
    927,321x = 1,954,273.50 × 1,954,273.50
  4. Step 4: Simplify right side
    927,321x = 3,819,184,912,802.25
  5. Step 5: Solve for x
    x = 3,819,184,912,802.25/927,321
  6. Step 6: Final answer
    x = 4,118,514.42

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.