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Finding the Third Proportional to 453,605 and 976,546

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Solution

The third proportional to 453,605 and 976,546 is: 2,102,362.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,605 : 976,546 = 976,546 : x
  2. Step 2: Convert to fraction form
    453,605/976,546 = 976,546/x
  3. Step 3: Cross multiply
    453,605x = 976,546 × 976,546
  4. Step 4: Simplify right side
    453,605x = 953,642,090,116
  5. Step 5: Solve for x
    x = 953,642,090,116/453,605
  6. Step 6: Final answer
    x = 2,102,362.39

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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.