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Finding the Third Proportional to 540,976 and 842,082

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Solution

The third proportional to 540,976 and 842,082 is: 1,310,782.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,976 : 842,082 = 842,082 : x
  2. Step 2: Convert to fraction form
    540,976/842,082 = 842,082/x
  3. Step 3: Cross multiply
    540,976x = 842,082 × 842,082
  4. Step 4: Simplify right side
    540,976x = 709,102,094,724
  5. Step 5: Solve for x
    x = 709,102,094,724/540,976
  6. Step 6: Final answer
    x = 1,310,782.91

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.