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Finding the Third Proportional to 1,431,293 and 3,111,084

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Solution

The third proportional to 1,431,293 and 3,111,084 is: 6,762,307.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431,293 : 3,111,084 = 3,111,084 : x
  2. Step 2: Convert to fraction form
    1,431,293/3,111,084 = 3,111,084/x
  3. Step 3: Cross multiply
    1,431,293x = 3,111,084 × 3,111,084
  4. Step 4: Simplify right side
    1,431,293x = 9,678,843,655,056
  5. Step 5: Solve for x
    x = 9,678,843,655,056/1,431,293
  6. Step 6: Final answer
    x = 6,762,307.69

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.