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Finding the Third Proportional to 1,689,597 and 3,518,979.75

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Solution

The third proportional to 1,689,597 and 3,518,979.75 is: 7,329,095.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689,597 : 3,518,979.75 = 3,518,979.75 : x
  2. Step 2: Convert to fraction form
    1,689,597/3,518,979.75 = 3,518,979.75/x
  3. Step 3: Cross multiply
    1,689,597x = 3,518,979.75 × 3,518,979.75
  4. Step 4: Simplify right side
    1,689,597x = 12,383,218,480,910.06
  5. Step 5: Solve for x
    x = 12,383,218,480,910.06/1,689,597
  6. Step 6: Final answer
    x = 7,329,095.92

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.