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Finding the Third Proportional to 476,076 and 991,608

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Solution

The third proportional to 476,076 and 991,608 is: 2,065,398.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,076 : 991,608 = 991,608 : x
  2. Step 2: Convert to fraction form
    476,076/991,608 = 991,608/x
  3. Step 3: Cross multiply
    476,076x = 991,608 × 991,608
  4. Step 4: Simplify right side
    476,076x = 983,286,425,664
  5. Step 5: Solve for x
    x = 983,286,425,664/476,076
  6. Step 6: Final answer
    x = 2,065,398.02

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.