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Finding the Third Proportional to 463,509 and 976,842

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Solution

The third proportional to 463,509 and 976,842 is: 2,058,687.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,509 : 976,842 = 976,842 : x
  2. Step 2: Convert to fraction form
    463,509/976,842 = 976,842/x
  3. Step 3: Cross multiply
    463,509x = 976,842 × 976,842
  4. Step 4: Simplify right side
    463,509x = 954,220,292,964
  5. Step 5: Solve for x
    x = 954,220,292,964/463,509
  6. Step 6: Final answer
    x = 2,058,687.73

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.