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Finding the Third Proportional to 1,000,222 and 1,429,296

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Solution

The third proportional to 1,000,222 and 1,429,296 is: 2,042,433.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000,222 : 1,429,296 = 1,429,296 : x
  2. Step 2: Convert to fraction form
    1,000,222/1,429,296 = 1,429,296/x
  3. Step 3: Cross multiply
    1,000,222x = 1,429,296 × 1,429,296
  4. Step 4: Simplify right side
    1,000,222x = 2,042,887,055,616
  5. Step 5: Solve for x
    x = 2,042,887,055,616/1,000,222
  6. Step 6: Final answer
    x = 2,042,433.64

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.