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Finding the Third Proportional to 455,726 and 997,222

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Solution

The third proportional to 455,726 and 997,222 is: 2,182,126.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,726 : 997,222 = 997,222 : x
  2. Step 2: Convert to fraction form
    455,726/997,222 = 997,222/x
  3. Step 3: Cross multiply
    455,726x = 997,222 × 997,222
  4. Step 4: Simplify right side
    455,726x = 994,451,717,284
  5. Step 5: Solve for x
    x = 994,451,717,284/455,726
  6. Step 6: Final answer
    x = 2,182,126.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.