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Finding the Third Proportional to 1,500,138 and 3,234,834

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Solution

The third proportional to 1,500,138 and 3,234,834 is: 6,975,458.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,500,138 : 3,234,834 = 3,234,834 : x
  2. Step 2: Convert to fraction form
    1,500,138/3,234,834 = 3,234,834/x
  3. Step 3: Cross multiply
    1,500,138x = 3,234,834 × 3,234,834
  4. Step 4: Simplify right side
    1,500,138x = 10,464,151,007,556
  5. Step 5: Solve for x
    x = 10,464,151,007,556/1,500,138
  6. Step 6: Final answer
    x = 6,975,458.93

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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.