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Finding the Third Proportional to 592,512 and 1,290,048

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Solution

The third proportional to 592,512 and 1,290,048 is: 2,808,759.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,512 : 1,290,048 = 1,290,048 : x
  2. Step 2: Convert to fraction form
    592,512/1,290,048 = 1,290,048/x
  3. Step 3: Cross multiply
    592,512x = 1,290,048 × 1,290,048
  4. Step 4: Simplify right side
    592,512x = 1,664,223,842,304
  5. Step 5: Solve for x
    x = 1,664,223,842,304/592,512
  6. Step 6: Final answer
    x = 2,808,759.73

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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.