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Finding the Third Proportional to 970,856 and 2,128,336

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Solution

The third proportional to 970,856 and 2,128,336 is: 4,665,794.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,856 : 2,128,336 = 2,128,336 : x
  2. Step 2: Convert to fraction form
    970,856/2,128,336 = 2,128,336/x
  3. Step 3: Cross multiply
    970,856x = 2,128,336 × 2,128,336
  4. Step 4: Simplify right side
    970,856x = 4,529,814,128,896
  5. Step 5: Solve for x
    x = 4,529,814,128,896/970,856
  6. Step 6: Final answer
    x = 4,665,794.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.