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Finding the Third Proportional to 1,742,625 and 3,774,756

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Solution

The third proportional to 1,742,625 and 3,774,756 is: 8,176,620.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742,625 : 3,774,756 = 3,774,756 : x
  2. Step 2: Convert to fraction form
    1,742,625/3,774,756 = 3,774,756/x
  3. Step 3: Cross multiply
    1,742,625x = 3,774,756 × 3,774,756
  4. Step 4: Simplify right side
    1,742,625x = 14,248,782,859,536
  5. Step 5: Solve for x
    x = 14,248,782,859,536/1,742,625
  6. Step 6: Final answer
    x = 8,176,620.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.