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Finding the Third Proportional to 473,128 and 1,021,296

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Solution

The third proportional to 473,128 and 1,021,296 is: 2,204,573.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,128 : 1,021,296 = 1,021,296 : x
  2. Step 2: Convert to fraction form
    473,128/1,021,296 = 1,021,296/x
  3. Step 3: Cross multiply
    473,128x = 1,021,296 × 1,021,296
  4. Step 4: Simplify right side
    473,128x = 1,043,045,519,616
  5. Step 5: Solve for x
    x = 1,043,045,519,616/473,128
  6. Step 6: Final answer
    x = 2,204,573.65

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