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Finding the Third Proportional to 1,315,728 and 2,834,476

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Solution

The third proportional to 1,315,728 and 2,834,476 is: 6,106,318.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315,728 : 2,834,476 = 2,834,476 : x
  2. Step 2: Convert to fraction form
    1,315,728/2,834,476 = 2,834,476/x
  3. Step 3: Cross multiply
    1,315,728x = 2,834,476 × 2,834,476
  4. Step 4: Simplify right side
    1,315,728x = 8,034,254,194,576
  5. Step 5: Solve for x
    x = 8,034,254,194,576/1,315,728
  6. Step 6: Final answer
    x = 6,106,318.48

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.