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Finding the Third Proportional to 1,313,416 and 2,784,968

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Solution

The third proportional to 1,313,416 and 2,784,968 is: 5,905,247.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313,416 : 2,784,968 = 2,784,968 : x
  2. Step 2: Convert to fraction form
    1,313,416/2,784,968 = 2,784,968/x
  3. Step 3: Cross multiply
    1,313,416x = 2,784,968 × 2,784,968
  4. Step 4: Simplify right side
    1,313,416x = 7,756,046,761,024
  5. Step 5: Solve for x
    x = 7,756,046,761,024/1,313,416
  6. Step 6: Final answer
    x = 5,905,247.66

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.