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Finding the Third Proportional to 1,214,662.75 and 2,658,141.50

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Solution

The third proportional to 1,214,662.75 and 2,658,141.50 is: 5,817,018.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214,662.75 : 2,658,141.50 = 2,658,141.50 : x
  2. Step 2: Convert to fraction form
    1,214,662.75/2,658,141.50 = 2,658,141.50/x
  3. Step 3: Cross multiply
    1,214,662.75x = 2,658,141.50 × 2,658,141.50
  4. Step 4: Simplify right side
    1,214,662.75x = 7,065,716,234,022.25
  5. Step 5: Solve for x
    x = 7,065,716,234,022.25/1,214,662.75
  6. Step 6: Final answer
    x = 5,817,018.95

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.