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Finding the Third Proportional to 1,020,084 and 1,574,016

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Solution

The third proportional to 1,020,084 and 1,574,016 is: 2,428,747.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020,084 : 1,574,016 = 1,574,016 : x
  2. Step 2: Convert to fraction form
    1,020,084/1,574,016 = 1,574,016/x
  3. Step 3: Cross multiply
    1,020,084x = 1,574,016 × 1,574,016
  4. Step 4: Simplify right side
    1,020,084x = 2,477,526,368,256
  5. Step 5: Solve for x
    x = 2,477,526,368,256/1,020,084
  6. Step 6: Final answer
    x = 2,428,747.41

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.