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Finding the Third Proportional to 814,472 and 1,071,046

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Solution

The third proportional to 814,472 and 1,071,046 is: 1,408,445.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,472 : 1,071,046 = 1,071,046 : x
  2. Step 2: Convert to fraction form
    814,472/1,071,046 = 1,071,046/x
  3. Step 3: Cross multiply
    814,472x = 1,071,046 × 1,071,046
  4. Step 4: Simplify right side
    814,472x = 1,147,139,534,116
  5. Step 5: Solve for x
    x = 1,147,139,534,116/814,472
  6. Step 6: Final answer
    x = 1,408,445.64

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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.