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Finding the Third Proportional to 481,787 and 1,071,292

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Solution

The third proportional to 481,787 and 1,071,292 is: 2,382,103.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,787 : 1,071,292 = 1,071,292 : x
  2. Step 2: Convert to fraction form
    481,787/1,071,292 = 1,071,292/x
  3. Step 3: Cross multiply
    481,787x = 1,071,292 × 1,071,292
  4. Step 4: Simplify right side
    481,787x = 1,147,666,549,264
  5. Step 5: Solve for x
    x = 1,147,666,549,264/481,787
  6. Step 6: Final answer
    x = 2,382,103.60

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.