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Finding the Third Proportional to 1,030,619 and 1,424,091

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Solution

The third proportional to 1,030,619 and 1,424,091 is: 1,967,783.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030,619 : 1,424,091 = 1,424,091 : x
  2. Step 2: Convert to fraction form
    1,030,619/1,424,091 = 1,424,091/x
  3. Step 3: Cross multiply
    1,030,619x = 1,424,091 × 1,424,091
  4. Step 4: Simplify right side
    1,030,619x = 2,028,035,176,281
  5. Step 5: Solve for x
    x = 2,028,035,176,281/1,030,619
  6. Step 6: Final answer
    x = 1,967,783.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.