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Finding the Third Proportional to 700,078 and 1,496,120

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Solution

The third proportional to 700,078 and 1,496,120 is: 3,197,322.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,078 : 1,496,120 = 1,496,120 : x
  2. Step 2: Convert to fraction form
    700,078/1,496,120 = 1,496,120/x
  3. Step 3: Cross multiply
    700,078x = 1,496,120 × 1,496,120
  4. Step 4: Simplify right side
    700,078x = 2,238,375,054,400
  5. Step 5: Solve for x
    x = 2,238,375,054,400/700,078
  6. Step 6: Final answer
    x = 3,197,322.38

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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.