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Finding the Third Proportional to 814,465 and 1,071,036

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Solution

The third proportional to 814,465 and 1,071,036 is: 1,408,431.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,465 : 1,071,036 = 1,071,036 : x
  2. Step 2: Convert to fraction form
    814,465/1,071,036 = 1,071,036/x
  3. Step 3: Cross multiply
    814,465x = 1,071,036 × 1,071,036
  4. Step 4: Simplify right side
    814,465x = 1,147,118,113,296
  5. Step 5: Solve for x
    x = 1,147,118,113,296/814,465
  6. Step 6: Final answer
    x = 1,408,431.44

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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.