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Finding the Third Proportional to 927,411 and 1,954,441.50

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Solution

The third proportional to 927,411 and 1,954,441.50 is: 4,118,822.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    927,411 : 1,954,441.50 = 1,954,441.50 : x
  2. Step 2: Convert to fraction form
    927,411/1,954,441.50 = 1,954,441.50/x
  3. Step 3: Cross multiply
    927,411x = 1,954,441.50 × 1,954,441.50
  4. Step 4: Simplify right side
    927,411x = 3,819,841,576,922.25
  5. Step 5: Solve for x
    x = 3,819,841,576,922.25/927,411
  6. Step 6: Final answer
    x = 4,118,822.81

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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.