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Finding the Third Proportional to 803,408 and 1,783,072

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Solution

The third proportional to 803,408 and 1,783,072 is: 3,957,324.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,408 : 1,783,072 = 1,783,072 : x
  2. Step 2: Convert to fraction form
    803,408/1,783,072 = 1,783,072/x
  3. Step 3: Cross multiply
    803,408x = 1,783,072 × 1,783,072
  4. Step 4: Simplify right side
    803,408x = 3,179,345,757,184
  5. Step 5: Solve for x
    x = 3,179,345,757,184/803,408
  6. Step 6: Final answer
    x = 3,957,324.00

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.