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Finding the Third Proportional to 963,296 and 2,117,272

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Solution

The third proportional to 963,296 and 2,117,272 is: 4,653,648.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    963,296 : 2,117,272 = 2,117,272 : x
  2. Step 2: Convert to fraction form
    963,296/2,117,272 = 2,117,272/x
  3. Step 3: Cross multiply
    963,296x = 2,117,272 × 2,117,272
  4. Step 4: Simplify right side
    963,296x = 4,482,840,721,984
  5. Step 5: Solve for x
    x = 4,482,840,721,984/963,296
  6. Step 6: Final answer
    x = 4,653,648.23

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.