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Finding the Third Proportional to 604,842 and 1,318,548

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Solution

The third proportional to 604,842 and 1,318,548 is: 2,874,418.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,842 : 1,318,548 = 1,318,548 : x
  2. Step 2: Convert to fraction form
    604,842/1,318,548 = 1,318,548/x
  3. Step 3: Cross multiply
    604,842x = 1,318,548 × 1,318,548
  4. Step 4: Simplify right side
    604,842x = 1,738,568,828,304
  5. Step 5: Solve for x
    x = 1,738,568,828,304/604,842
  6. Step 6: Final answer
    x = 2,874,418.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.