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Finding the Third Proportional to 539,292.94 and 1,170,257.63

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Solution

The third proportional to 539,292.94 and 1,170,257.63 is: 2,539,441.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,292.94 : 1,170,257.63 = 1,170,257.63 : x
  2. Step 2: Convert to fraction form
    539,292.94/1,170,257.63 = 1,170,257.63/x
  3. Step 3: Cross multiply
    539,292.94x = 1,170,257.63 × 1,170,257.63
  4. Step 4: Simplify right side
    539,292.94x = 1,369,502,908,870.64
  5. Step 5: Solve for x
    x = 1,369,502,908,870.64/539,292.94
  6. Step 6: Final answer
    x = 2,539,441.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.