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Finding the Third Proportional to 969,264 and 2,114,779.50

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Solution

The third proportional to 969,264 and 2,114,779.50 is: 4,614,111.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    969,264 : 2,114,779.50 = 2,114,779.50 : x
  2. Step 2: Convert to fraction form
    969,264/2,114,779.50 = 2,114,779.50/x
  3. Step 3: Cross multiply
    969,264x = 2,114,779.50 × 2,114,779.50
  4. Step 4: Simplify right side
    969,264x = 4,472,292,333,620.25
  5. Step 5: Solve for x
    x = 4,472,292,333,620.25/969,264
  6. Step 6: Final answer
    x = 4,614,111.67

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.