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Finding the Third Proportional to 463,576 and 976,968

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Solution

The third proportional to 463,576 and 976,968 is: 2,058,921.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,576 : 976,968 = 976,968 : x
  2. Step 2: Convert to fraction form
    463,576/976,968 = 976,968/x
  3. Step 3: Cross multiply
    463,576x = 976,968 × 976,968
  4. Step 4: Simplify right side
    463,576x = 954,466,473,024
  5. Step 5: Solve for x
    x = 954,466,473,024/463,576
  6. Step 6: Final answer
    x = 2,058,921.24

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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.