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Finding the Third Proportional to 1,689,429.38 and 3,498,624

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Solution

The third proportional to 1,689,429.38 and 3,498,624 is: 7,245,268.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689,429.38 : 3,498,624 = 3,498,624 : x
  2. Step 2: Convert to fraction form
    1,689,429.38/3,498,624 = 3,498,624/x
  3. Step 3: Cross multiply
    1,689,429.38x = 3,498,624 × 3,498,624
  4. Step 4: Simplify right side
    1,689,429.38x = 12,240,369,893,376
  5. Step 5: Solve for x
    x = 12,240,369,893,376/1,689,429.38
  6. Step 6: Final answer
    x = 7,245,268.77

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.