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Finding the Third Proportional to 463,433 and 1,015,444

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Solution

The third proportional to 463,433 and 1,015,444 is: 2,224,974.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,433 : 1,015,444 = 1,015,444 : x
  2. Step 2: Convert to fraction form
    463,433/1,015,444 = 1,015,444/x
  3. Step 3: Cross multiply
    463,433x = 1,015,444 × 1,015,444
  4. Step 4: Simplify right side
    463,433x = 1,031,126,517,136
  5. Step 5: Solve for x
    x = 1,031,126,517,136/463,433
  6. Step 6: Final answer
    x = 2,224,974.31

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.