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Finding the Third Proportional to 453,840 and 965,072

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Solution

The third proportional to 453,840 and 965,072 is: 2,052,185.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,840 : 965,072 = 965,072 : x
  2. Step 2: Convert to fraction form
    453,840/965,072 = 965,072/x
  3. Step 3: Cross multiply
    453,840x = 965,072 × 965,072
  4. Step 4: Simplify right side
    453,840x = 931,363,965,184
  5. Step 5: Solve for x
    x = 931,363,965,184/453,840
  6. Step 6: Final answer
    x = 2,052,185.72

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.