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Finding the Third Proportional to 4,122,139.50 and 5,696,019

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Solution

The third proportional to 4,122,139.50 and 5,696,019 is: 7,870,823.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,122,139.50 : 5,696,019 = 5,696,019 : x
  2. Step 2: Convert to fraction form
    4,122,139.50/5,696,019 = 5,696,019/x
  3. Step 3: Cross multiply
    4,122,139.50x = 5,696,019 × 5,696,019
  4. Step 4: Simplify right side
    4,122,139.50x = 32,444,632,448,361
  5. Step 5: Solve for x
    x = 32,444,632,448,361/4,122,139.50
  6. Step 6: Final answer
    x = 7,870,823.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.