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Finding the Third Proportional to 930,274 and 1,400,856

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Solution

The third proportional to 930,274 and 1,400,856 is: 2,109,483.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    930,274 : 1,400,856 = 1,400,856 : x
  2. Step 2: Convert to fraction form
    930,274/1,400,856 = 1,400,856/x
  3. Step 3: Cross multiply
    930,274x = 1,400,856 × 1,400,856
  4. Step 4: Simplify right side
    930,274x = 1,962,397,532,736
  5. Step 5: Solve for x
    x = 1,962,397,532,736/930,274
  6. Step 6: Final answer
    x = 2,109,483.37

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.