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Finding the Third Proportional to 712,009 and 1,450,458

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Solution

The third proportional to 712,009 and 1,450,458 is: 2,954,777.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,009 : 1,450,458 = 1,450,458 : x
  2. Step 2: Convert to fraction form
    712,009/1,450,458 = 1,450,458/x
  3. Step 3: Cross multiply
    712,009x = 1,450,458 × 1,450,458
  4. Step 4: Simplify right side
    712,009x = 2,103,828,409,764
  5. Step 5: Solve for x
    x = 2,103,828,409,764/712,009
  6. Step 6: Final answer
    x = 2,954,777.83

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.