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Finding the Third Proportional to 1,363,742 and 2,045,614

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Solution

The third proportional to 1,363,742 and 2,045,614 is: 3,068,422.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,363,742 : 2,045,614 = 2,045,614 : x
  2. Step 2: Convert to fraction form
    1,363,742/2,045,614 = 2,045,614/x
  3. Step 3: Cross multiply
    1,363,742x = 2,045,614 × 2,045,614
  4. Step 4: Simplify right side
    1,363,742x = 4,184,536,636,996
  5. Step 5: Solve for x
    x = 4,184,536,636,996/1,363,742
  6. Step 6: Final answer
    x = 3,068,422.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.