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Finding the Third Proportional to 1,830,314 and 2,782,786

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Solution

The third proportional to 1,830,314 and 2,782,786 is: 4,230,912.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,830,314 : 2,782,786 = 2,782,786 : x
  2. Step 2: Convert to fraction form
    1,830,314/2,782,786 = 2,782,786/x
  3. Step 3: Cross multiply
    1,830,314x = 2,782,786 × 2,782,786
  4. Step 4: Simplify right side
    1,830,314x = 7,743,897,921,796
  5. Step 5: Solve for x
    x = 7,743,897,921,796/1,830,314
  6. Step 6: Final answer
    x = 4,230,912.25

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.