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Finding the Third Proportional to 589,568 and 1,273,262

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Solution

The third proportional to 589,568 and 1,273,262 is: 2,749,803.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,568 : 1,273,262 = 1,273,262 : x
  2. Step 2: Convert to fraction form
    589,568/1,273,262 = 1,273,262/x
  3. Step 3: Cross multiply
    589,568x = 1,273,262 × 1,273,262
  4. Step 4: Simplify right side
    589,568x = 1,621,196,120,644
  5. Step 5: Solve for x
    x = 1,621,196,120,644/589,568
  6. Step 6: Final answer
    x = 2,749,803.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.