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Finding the Third Proportional to 2,038,405.50 and 4,435,509.38

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Solution

The third proportional to 2,038,405.50 and 4,435,509.38 is: 9,651,535.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038,405.50 : 4,435,509.38 = 4,435,509.38 : x
  2. Step 2: Convert to fraction form
    2,038,405.50/4,435,509.38 = 4,435,509.38/x
  3. Step 3: Cross multiply
    2,038,405.50x = 4,435,509.38 × 4,435,509.38
  4. Step 4: Simplify right side
    2,038,405.50x = 19,673,743,415,712.89
  5. Step 5: Solve for x
    x = 19,673,743,415,712.89/2,038,405.50
  6. Step 6: Final answer
    x = 9,651,535.68

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.