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Finding the Third Proportional to 2,586,207 and 5,620,069.50

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Solution

The third proportional to 2,586,207 and 5,620,069.50 is: 12,212,936.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,586,207 : 5,620,069.50 = 5,620,069.50 : x
  2. Step 2: Convert to fraction form
    2,586,207/5,620,069.50 = 5,620,069.50/x
  3. Step 3: Cross multiply
    2,586,207x = 5,620,069.50 × 5,620,069.50
  4. Step 4: Simplify right side
    2,586,207x = 31,585,181,184,830.25
  5. Step 5: Solve for x
    x = 31,585,181,184,830.25/2,586,207
  6. Step 6: Final answer
    x = 12,212,936.24

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.