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Finding the Third Proportional to 509,498 and 1,079,684

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Solution

The third proportional to 509,498 and 1,079,684 is: 2,287,972.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,498 : 1,079,684 = 1,079,684 : x
  2. Step 2: Convert to fraction form
    509,498/1,079,684 = 1,079,684/x
  3. Step 3: Cross multiply
    509,498x = 1,079,684 × 1,079,684
  4. Step 4: Simplify right side
    509,498x = 1,165,717,539,856
  5. Step 5: Solve for x
    x = 1,165,717,539,856/509,498
  6. Step 6: Final answer
    x = 2,287,972.75

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.