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Finding the Third Proportional to 1,740,247.88 and 2,689,124.06

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Solution

The third proportional to 1,740,247.88 and 2,689,124.06 is: 4,155,378.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,740,247.88 : 2,689,124.06 = 2,689,124.06 : x
  2. Step 2: Convert to fraction form
    1,740,247.88/2,689,124.06 = 2,689,124.06/x
  3. Step 3: Cross multiply
    1,740,247.88x = 2,689,124.06 × 2,689,124.06
  4. Step 4: Simplify right side
    1,740,247.88x = 7,231,388,223,516.50
  5. Step 5: Solve for x
    x = 7,231,388,223,516.50/1,740,247.88
  6. Step 6: Final answer
    x = 4,155,378.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.