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Finding the Third Proportional to 453,606 and 976,548

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Solution

The third proportional to 453,606 and 976,548 is: 2,102,366.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,606 : 976,548 = 976,548 : x
  2. Step 2: Convert to fraction form
    453,606/976,548 = 976,548/x
  3. Step 3: Cross multiply
    453,606x = 976,548 × 976,548
  4. Step 4: Simplify right side
    453,606x = 953,645,996,304
  5. Step 5: Solve for x
    x = 953,645,996,304/453,606
  6. Step 6: Final answer
    x = 2,102,366.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.