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Finding the Third Proportional to 788,471 and 1,235,456

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Solution

The third proportional to 788,471 and 1,235,456 is: 1,935,837.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    788,471 : 1,235,456 = 1,235,456 : x
  2. Step 2: Convert to fraction form
    788,471/1,235,456 = 1,235,456/x
  3. Step 3: Cross multiply
    788,471x = 1,235,456 × 1,235,456
  4. Step 4: Simplify right side
    788,471x = 1,526,351,527,936
  5. Step 5: Solve for x
    x = 1,526,351,527,936/788,471
  6. Step 6: Final answer
    x = 1,935,837.24

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.