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Finding the Third Proportional to 579,870 and 1,176,044

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Solution

The third proportional to 579,870 and 1,176,044 is: 2,385,154.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,870 : 1,176,044 = 1,176,044 : x
  2. Step 2: Convert to fraction form
    579,870/1,176,044 = 1,176,044/x
  3. Step 3: Cross multiply
    579,870x = 1,176,044 × 1,176,044
  4. Step 4: Simplify right side
    579,870x = 1,383,079,489,936
  5. Step 5: Solve for x
    x = 1,383,079,489,936/579,870
  6. Step 6: Final answer
    x = 2,385,154.41

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.