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Finding the Third Proportional to 803,116 and 1,070,676

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Solution

The third proportional to 803,116 and 1,070,676 is: 1,427,374.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,116 : 1,070,676 = 1,070,676 : x
  2. Step 2: Convert to fraction form
    803,116/1,070,676 = 1,070,676/x
  3. Step 3: Cross multiply
    803,116x = 1,070,676 × 1,070,676
  4. Step 4: Simplify right side
    803,116x = 1,146,347,096,976
  5. Step 5: Solve for x
    x = 1,146,347,096,976/803,116
  6. Step 6: Final answer
    x = 1,427,374.25

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.