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Finding the Third Proportional to 455,841 and 991,953

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Solution

The third proportional to 455,841 and 991,953 is: 2,158,583.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,841 : 991,953 = 991,953 : x
  2. Step 2: Convert to fraction form
    455,841/991,953 = 991,953/x
  3. Step 3: Cross multiply
    455,841x = 991,953 × 991,953
  4. Step 4: Simplify right side
    455,841x = 983,970,754,209
  5. Step 5: Solve for x
    x = 983,970,754,209/455,841
  6. Step 6: Final answer
    x = 2,158,583.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.