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Finding the Third Proportional to 1,316,678 and 2,819,976

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Solution

The third proportional to 1,316,678 and 2,819,976 is: 6,039,642.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316,678 : 2,819,976 = 2,819,976 : x
  2. Step 2: Convert to fraction form
    1,316,678/2,819,976 = 2,819,976/x
  3. Step 3: Cross multiply
    1,316,678x = 2,819,976 × 2,819,976
  4. Step 4: Simplify right side
    1,316,678x = 7,952,264,640,576
  5. Step 5: Solve for x
    x = 7,952,264,640,576/1,316,678
  6. Step 6: Final answer
    x = 6,039,642.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.