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Finding the Third Proportional to 1,583,418 and 3,415,668

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Solution

The third proportional to 1,583,418 and 3,415,668 is: 7,368,103.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583,418 : 3,415,668 = 3,415,668 : x
  2. Step 2: Convert to fraction form
    1,583,418/3,415,668 = 3,415,668/x
  3. Step 3: Cross multiply
    1,583,418x = 3,415,668 × 3,415,668
  4. Step 4: Simplify right side
    1,583,418x = 11,666,787,886,224
  5. Step 5: Solve for x
    x = 11,666,787,886,224/1,583,418
  6. Step 6: Final answer
    x = 7,368,103.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.