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Finding the Third Proportional to 1,825,122 and 4,225,046

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Solution

The third proportional to 1,825,122 and 4,225,046 is: 9,780,723.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,825,122 : 4,225,046 = 4,225,046 : x
  2. Step 2: Convert to fraction form
    1,825,122/4,225,046 = 4,225,046/x
  3. Step 3: Cross multiply
    1,825,122x = 4,225,046 × 4,225,046
  4. Step 4: Simplify right side
    1,825,122x = 17,851,013,702,116
  5. Step 5: Solve for x
    x = 17,851,013,702,116/1,825,122
  6. Step 6: Final answer
    x = 9,780,723.54

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.