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Finding the Third Proportional to 1,417,626 and 3,110,827.50

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Solution

The third proportional to 1,417,626 and 3,110,827.50 is: 6,826,375.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417,626 : 3,110,827.50 = 3,110,827.50 : x
  2. Step 2: Convert to fraction form
    1,417,626/3,110,827.50 = 3,110,827.50/x
  3. Step 3: Cross multiply
    1,417,626x = 3,110,827.50 × 3,110,827.50
  4. Step 4: Simplify right side
    1,417,626x = 9,677,247,734,756.25
  5. Step 5: Solve for x
    x = 9,677,247,734,756.25/1,417,626
  6. Step 6: Final answer
    x = 6,826,375.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.