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Finding the Third Proportional to 590,759 and 1,295,880

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Solution

The third proportional to 590,759 and 1,295,880 is: 2,842,622.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,759 : 1,295,880 = 1,295,880 : x
  2. Step 2: Convert to fraction form
    590,759/1,295,880 = 1,295,880/x
  3. Step 3: Cross multiply
    590,759x = 1,295,880 × 1,295,880
  4. Step 4: Simplify right side
    590,759x = 1,679,304,974,400
  5. Step 5: Solve for x
    x = 1,679,304,974,400/590,759
  6. Step 6: Final answer
    x = 2,842,622.75

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Why These Related Problems?

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