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Finding the Third Proportional to 1,712,059 and 2,562,742

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Solution

The third proportional to 1,712,059 and 2,562,742 is: 3,836,109.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,712,059 : 2,562,742 = 2,562,742 : x
  2. Step 2: Convert to fraction form
    1,712,059/2,562,742 = 2,562,742/x
  3. Step 3: Cross multiply
    1,712,059x = 2,562,742 × 2,562,742
  4. Step 4: Simplify right side
    1,712,059x = 6,567,646,558,564
  5. Step 5: Solve for x
    x = 6,567,646,558,564/1,712,059
  6. Step 6: Final answer
    x = 3,836,109.95

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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.