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Finding the Third Proportional to 537,908 and 1,170,435

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Solution

The third proportional to 537,908 and 1,170,435 is: 2,546,751.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,908 : 1,170,435 = 1,170,435 : x
  2. Step 2: Convert to fraction form
    537,908/1,170,435 = 1,170,435/x
  3. Step 3: Cross multiply
    537,908x = 1,170,435 × 1,170,435
  4. Step 4: Simplify right side
    537,908x = 1,369,918,089,225
  5. Step 5: Solve for x
    x = 1,369,918,089,225/537,908
  6. Step 6: Final answer
    x = 2,546,751.65

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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.