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Finding the Third Proportional to 2,830,308.75 and 3,770,887.50

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Solution

The third proportional to 2,830,308.75 and 3,770,887.50 is: 5,024,042.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,830,308.75 : 3,770,887.50 = 3,770,887.50 : x
  2. Step 2: Convert to fraction form
    2,830,308.75/3,770,887.50 = 3,770,887.50/x
  3. Step 3: Cross multiply
    2,830,308.75x = 3,770,887.50 × 3,770,887.50
  4. Step 4: Simplify right side
    2,830,308.75x = 14,219,592,537,656.25
  5. Step 5: Solve for x
    x = 14,219,592,537,656.25/2,830,308.75
  6. Step 6: Final answer
    x = 5,024,042.88

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.