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Finding the Third Proportional to 1,519,584 and 2,406,223

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Solution

The third proportional to 1,519,584 and 2,406,223 is: 3,810,193.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,519,584 : 2,406,223 = 2,406,223 : x
  2. Step 2: Convert to fraction form
    1,519,584/2,406,223 = 2,406,223/x
  3. Step 3: Cross multiply
    1,519,584x = 2,406,223 × 2,406,223
  4. Step 4: Simplify right side
    1,519,584x = 5,789,909,125,729
  5. Step 5: Solve for x
    x = 5,789,909,125,729/1,519,584
  6. Step 6: Final answer
    x = 3,810,193.53

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.