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Finding the Third Proportional to 401,818 and 845,012

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Solution

The third proportional to 401,818 and 845,012 is: 1,777,036.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,818 : 845,012 = 845,012 : x
  2. Step 2: Convert to fraction form
    401,818/845,012 = 845,012/x
  3. Step 3: Cross multiply
    401,818x = 845,012 × 845,012
  4. Step 4: Simplify right side
    401,818x = 714,045,280,144
  5. Step 5: Solve for x
    x = 714,045,280,144/401,818
  6. Step 6: Final answer
    x = 1,777,036.57

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.