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Finding the Third Proportional to 1,085,948 and 1,428,042

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Solution

The third proportional to 1,085,948 and 1,428,042 is: 1,877,902.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085,948 : 1,428,042 = 1,428,042 : x
  2. Step 2: Convert to fraction form
    1,085,948/1,428,042 = 1,428,042/x
  3. Step 3: Cross multiply
    1,085,948x = 1,428,042 × 1,428,042
  4. Step 4: Simplify right side
    1,085,948x = 2,039,303,953,764
  5. Step 5: Solve for x
    x = 2,039,303,953,764/1,085,948
  6. Step 6: Final answer
    x = 1,877,902.03

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.