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Finding the Third Proportional to 537,902 and 1,170,424

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Solution

The third proportional to 537,902 and 1,170,424 is: 2,546,732.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,902 : 1,170,424 = 1,170,424 : x
  2. Step 2: Convert to fraction form
    537,902/1,170,424 = 1,170,424/x
  3. Step 3: Cross multiply
    537,902x = 1,170,424 × 1,170,424
  4. Step 4: Simplify right side
    537,902x = 1,369,892,339,776
  5. Step 5: Solve for x
    x = 1,369,892,339,776/537,902
  6. Step 6: Final answer
    x = 2,546,732.19

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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.