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Finding the Third Proportional to 933,214.50 and 2,047,221

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Solution

The third proportional to 933,214.50 and 2,047,221 is: 4,491,050.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    933,214.50 : 2,047,221 = 2,047,221 : x
  2. Step 2: Convert to fraction form
    933,214.50/2,047,221 = 2,047,221/x
  3. Step 3: Cross multiply
    933,214.50x = 2,047,221 × 2,047,221
  4. Step 4: Simplify right side
    933,214.50x = 4,191,113,822,841
  5. Step 5: Solve for x
    x = 4,191,113,822,841/933,214.50
  6. Step 6: Final answer
    x = 4,491,050.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.