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Finding the Third Proportional to 2,140,321.50 and 2,934,902.25

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Solution

The third proportional to 2,140,321.50 and 2,934,902.25 is: 4,024,466.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140,321.50 : 2,934,902.25 = 2,934,902.25 : x
  2. Step 2: Convert to fraction form
    2,140,321.50/2,934,902.25 = 2,934,902.25/x
  3. Step 3: Cross multiply
    2,140,321.50x = 2,934,902.25 × 2,934,902.25
  4. Step 4: Simplify right side
    2,140,321.50x = 8,613,651,217,055.06
  5. Step 5: Solve for x
    x = 8,613,651,217,055.06/2,140,321.50
  6. Step 6: Final answer
    x = 4,024,466.05

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.