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Finding the Third Proportional to 970,008 and 2,040,503

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Solution

The third proportional to 970,008 and 2,040,503 is: 4,292,389.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,008 : 2,040,503 = 2,040,503 : x
  2. Step 2: Convert to fraction form
    970,008/2,040,503 = 2,040,503/x
  3. Step 3: Cross multiply
    970,008x = 2,040,503 × 2,040,503
  4. Step 4: Simplify right side
    970,008x = 4,163,652,493,009
  5. Step 5: Solve for x
    x = 4,163,652,493,009/970,008
  6. Step 6: Final answer
    x = 4,292,389.85

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.