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Finding the Third Proportional to 476,102 and 991,660

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Solution

The third proportional to 476,102 and 991,660 is: 2,065,501.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,102 : 991,660 = 991,660 : x
  2. Step 2: Convert to fraction form
    476,102/991,660 = 991,660/x
  3. Step 3: Cross multiply
    476,102x = 991,660 × 991,660
  4. Step 4: Simplify right side
    476,102x = 983,389,555,600
  5. Step 5: Solve for x
    x = 983,389,555,600/476,102
  6. Step 6: Final answer
    x = 2,065,501.84

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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.