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Finding the Third Proportional to 607,856 and 1,407,078

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Solution

The third proportional to 607,856 and 1,407,078 is: 3,257,134.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    607,856 : 1,407,078 = 1,407,078 : x
  2. Step 2: Convert to fraction form
    607,856/1,407,078 = 1,407,078/x
  3. Step 3: Cross multiply
    607,856x = 1,407,078 × 1,407,078
  4. Step 4: Simplify right side
    607,856x = 1,979,868,498,084
  5. Step 5: Solve for x
    x = 1,979,868,498,084/607,856
  6. Step 6: Final answer
    x = 3,257,134.09

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.