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Finding the Third Proportional to 1,905,410.50 and 4,087,112.50

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Solution

The third proportional to 1,905,410.50 and 4,087,112.50 is: 8,766,871.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,905,410.50 : 4,087,112.50 = 4,087,112.50 : x
  2. Step 2: Convert to fraction form
    1,905,410.50/4,087,112.50 = 4,087,112.50/x
  3. Step 3: Cross multiply
    1,905,410.50x = 4,087,112.50 × 4,087,112.50
  4. Step 4: Simplify right side
    1,905,410.50x = 16,704,488,587,656.25
  5. Step 5: Solve for x
    x = 16,704,488,587,656.25/1,905,410.50
  6. Step 6: Final answer
    x = 8,766,871.28

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.