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Finding the Third Proportional to 4,065,485.06 and 5,985,815.63

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Solution

The third proportional to 4,065,485.06 and 5,985,815.63 is: 8,813,213.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,065,485.06 : 5,985,815.63 = 5,985,815.63 : x
  2. Step 2: Convert to fraction form
    4,065,485.06/5,985,815.63 = 5,985,815.63/x
  3. Step 3: Cross multiply
    4,065,485.06x = 5,985,815.63 × 5,985,815.63
  4. Step 4: Simplify right side
    4,065,485.06x = 35,829,988,696,494.14
  5. Step 5: Solve for x
    x = 35,829,988,696,494.14/4,065,485.06
  6. Step 6: Final answer
    x = 8,813,213.71

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.