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Finding the Third Proportional to 1,689,564 and 3,498,835.50

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Solution

The third proportional to 1,689,564 and 3,498,835.50 is: 7,245,567.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689,564 : 3,498,835.50 = 3,498,835.50 : x
  2. Step 2: Convert to fraction form
    1,689,564/3,498,835.50 = 3,498,835.50/x
  3. Step 3: Cross multiply
    1,689,564x = 3,498,835.50 × 3,498,835.50
  4. Step 4: Simplify right side
    1,689,564x = 12,241,849,856,060.25
  5. Step 5: Solve for x
    x = 12,241,849,856,060.25/1,689,564
  6. Step 6: Final answer
    x = 7,245,567.41

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