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Finding the Third Proportional to 406,026 and 881,253

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Solution

The third proportional to 406,026 and 881,253 is: 1,912,702.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,026 : 881,253 = 881,253 : x
  2. Step 2: Convert to fraction form
    406,026/881,253 = 881,253/x
  3. Step 3: Cross multiply
    406,026x = 881,253 × 881,253
  4. Step 4: Simplify right side
    406,026x = 776,606,850,009
  5. Step 5: Solve for x
    x = 776,606,850,009/406,026
  6. Step 6: Final answer
    x = 1,912,702.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.