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Finding the Third Proportional to 1,000,211 and 1,429,278

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Solution

The third proportional to 1,000,211 and 1,429,278 is: 2,042,404.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000,211 : 1,429,278 = 1,429,278 : x
  2. Step 2: Convert to fraction form
    1,000,211/1,429,278 = 1,429,278/x
  3. Step 3: Cross multiply
    1,000,211x = 1,429,278 × 1,429,278
  4. Step 4: Simplify right side
    1,000,211x = 2,042,835,601,284
  5. Step 5: Solve for x
    x = 2,042,835,601,284/1,000,211
  6. Step 6: Final answer
    x = 2,042,404.65

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.