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Finding the Third Proportional to 914,172 and 1,968,828.50

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Solution

The third proportional to 914,172 and 1,968,828.50 is: 4,240,214.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    914,172 : 1,968,828.50 = 1,968,828.50 : x
  2. Step 2: Convert to fraction form
    914,172/1,968,828.50 = 1,968,828.50/x
  3. Step 3: Cross multiply
    914,172x = 1,968,828.50 × 1,968,828.50
  4. Step 4: Simplify right side
    914,172x = 3,876,285,662,412.25
  5. Step 5: Solve for x
    x = 3,876,285,662,412.25/914,172
  6. Step 6: Final answer
    x = 4,240,214.82

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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.