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Finding the Third Proportional to 552,854 and 846,753

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Solution

The third proportional to 552,854 and 846,753 is: 1,296,889.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,854 : 846,753 = 846,753 : x
  2. Step 2: Convert to fraction form
    552,854/846,753 = 846,753/x
  3. Step 3: Cross multiply
    552,854x = 846,753 × 846,753
  4. Step 4: Simplify right side
    552,854x = 716,990,643,009
  5. Step 5: Solve for x
    x = 716,990,643,009/552,854
  6. Step 6: Final answer
    x = 1,296,889.67

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.