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Finding the Third Proportional to 803,471 and 1,101,736

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Solution

The third proportional to 803,471 and 1,101,736 is: 1,510,723.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,471 : 1,101,736 = 1,101,736 : x
  2. Step 2: Convert to fraction form
    803,471/1,101,736 = 1,101,736/x
  3. Step 3: Cross multiply
    803,471x = 1,101,736 × 1,101,736
  4. Step 4: Simplify right side
    803,471x = 1,213,822,213,696
  5. Step 5: Solve for x
    x = 1,213,822,213,696/803,471
  6. Step 6: Final answer
    x = 1,510,723.12

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.