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Finding the Third Proportional to 481,653 and 1,058,646

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Solution

The third proportional to 481,653 and 1,058,646 is: 2,326,843.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,653 : 1,058,646 = 1,058,646 : x
  2. Step 2: Convert to fraction form
    481,653/1,058,646 = 1,058,646/x
  3. Step 3: Cross multiply
    481,653x = 1,058,646 × 1,058,646
  4. Step 4: Simplify right side
    481,653x = 1,120,731,353,316
  5. Step 5: Solve for x
    x = 1,120,731,353,316/481,653
  6. Step 6: Final answer
    x = 2,326,843.92

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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.