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Finding the Third Proportional to 476,312 and 1,027,404

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Solution

The third proportional to 476,312 and 1,027,404 is: 2,216,108.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,312 : 1,027,404 = 1,027,404 : x
  2. Step 2: Convert to fraction form
    476,312/1,027,404 = 1,027,404/x
  3. Step 3: Cross multiply
    476,312x = 1,027,404 × 1,027,404
  4. Step 4: Simplify right side
    476,312x = 1,055,558,979,216
  5. Step 5: Solve for x
    x = 1,055,558,979,216/476,312
  6. Step 6: Final answer
    x = 2,216,108.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.