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Finding the Third Proportional to 1,684,141.88 and 3,644,817.75

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Solution

The third proportional to 1,684,141.88 and 3,644,817.75 is: 7,888,110.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684,141.88 : 3,644,817.75 = 3,644,817.75 : x
  2. Step 2: Convert to fraction form
    1,684,141.88/3,644,817.75 = 3,644,817.75/x
  3. Step 3: Cross multiply
    1,684,141.88x = 3,644,817.75 × 3,644,817.75
  4. Step 4: Simplify right side
    1,684,141.88x = 13,284,696,430,715.06
  5. Step 5: Solve for x
    x = 13,284,696,430,715.06/1,684,141.88
  6. Step 6: Final answer
    x = 7,888,110.04

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.