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Finding the Third Proportional to 463,932 and 1,017,522

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Solution

The third proportional to 463,932 and 1,017,522 is: 2,231,687.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,932 : 1,017,522 = 1,017,522 : x
  2. Step 2: Convert to fraction form
    463,932/1,017,522 = 1,017,522/x
  3. Step 3: Cross multiply
    463,932x = 1,017,522 × 1,017,522
  4. Step 4: Simplify right side
    463,932x = 1,035,351,020,484
  5. Step 5: Solve for x
    x = 1,035,351,020,484/463,932
  6. Step 6: Final answer
    x = 2,231,687.02

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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.