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Finding the Third Proportional to 1,626,406.17 and 3,435,912.84

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Solution

The third proportional to 1,626,406.17 and 3,435,912.84 is: 7,258,640.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,626,406.17 : 3,435,912.84 = 3,435,912.84 : x
  2. Step 2: Convert to fraction form
    1,626,406.17/3,435,912.84 = 3,435,912.84/x
  3. Step 3: Cross multiply
    1,626,406.17x = 3,435,912.84 × 3,435,912.84
  4. Step 4: Simplify right side
    1,626,406.17x = 11,805,497,069,846.21
  5. Step 5: Solve for x
    x = 11,805,497,069,846.21/1,626,406.17
  6. Step 6: Final answer
    x = 7,258,640.11

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.