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Finding the Third Proportional to 453,616 and 986,048

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Solution

The third proportional to 453,616 and 986,048 is: 2,143,422.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,616 : 986,048 = 986,048 : x
  2. Step 2: Convert to fraction form
    453,616/986,048 = 986,048/x
  3. Step 3: Cross multiply
    453,616x = 986,048 × 986,048
  4. Step 4: Simplify right side
    453,616x = 972,290,658,304
  5. Step 5: Solve for x
    x = 972,290,658,304/453,616
  6. Step 6: Final answer
    x = 2,143,422.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.