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Finding the Third Proportional to 970,003 and 2,094,878

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Solution

The third proportional to 970,003 and 2,094,878 is: 4,524,227.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,003 : 2,094,878 = 2,094,878 : x
  2. Step 2: Convert to fraction form
    970,003/2,094,878 = 2,094,878/x
  3. Step 3: Cross multiply
    970,003x = 2,094,878 × 2,094,878
  4. Step 4: Simplify right side
    970,003x = 4,388,513,834,884
  5. Step 5: Solve for x
    x = 4,388,513,834,884/970,003
  6. Step 6: Final answer
    x = 4,524,227.07

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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.