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Finding the Third Proportional to 481,428 and 1,016,562

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Solution

The third proportional to 481,428 and 1,016,562 is: 2,146,527.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,428 : 1,016,562 = 1,016,562 : x
  2. Step 2: Convert to fraction form
    481,428/1,016,562 = 1,016,562/x
  3. Step 3: Cross multiply
    481,428x = 1,016,562 × 1,016,562
  4. Step 4: Simplify right side
    481,428x = 1,033,398,299,844
  5. Step 5: Solve for x
    x = 1,033,398,299,844/481,428
  6. Step 6: Final answer
    x = 2,146,527.21

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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.