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Finding the Third Proportional to 476,054 and 991,564

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Solution

The third proportional to 476,054 and 991,564 is: 2,065,310.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,054 : 991,564 = 991,564 : x
  2. Step 2: Convert to fraction form
    476,054/991,564 = 991,564/x
  3. Step 3: Cross multiply
    476,054x = 991,564 × 991,564
  4. Step 4: Simplify right side
    476,054x = 983,199,166,096
  5. Step 5: Solve for x
    x = 983,199,166,096/476,054
  6. Step 6: Final answer
    x = 2,065,310.17

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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.