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Finding the Third Proportional to 970,863 and 2,128,350

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Solution

The third proportional to 970,863 and 2,128,350 is: 4,665,821.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,863 : 2,128,350 = 2,128,350 : x
  2. Step 2: Convert to fraction form
    970,863/2,128,350 = 2,128,350/x
  3. Step 3: Cross multiply
    970,863x = 2,128,350 × 2,128,350
  4. Step 4: Simplify right side
    970,863x = 4,529,873,722,500
  5. Step 5: Solve for x
    x = 4,529,873,722,500/970,863
  6. Step 6: Final answer
    x = 4,665,821.77

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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.