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Finding the Third Proportional to 1,481,996 and 2,296,210

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Solution

The third proportional to 1,481,996 and 2,296,210 is: 3,557,756.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,481,996 : 2,296,210 = 2,296,210 : x
  2. Step 2: Convert to fraction form
    1,481,996/2,296,210 = 2,296,210/x
  3. Step 3: Cross multiply
    1,481,996x = 2,296,210 × 2,296,210
  4. Step 4: Simplify right side
    1,481,996x = 5,272,580,364,100
  5. Step 5: Solve for x
    x = 5,272,580,364,100/1,481,996
  6. Step 6: Final answer
    x = 3,557,756.14

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.