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Finding the Third Proportional to 589,498 and 1,200,673

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Solution

The third proportional to 589,498 and 1,200,673 is: 2,445,497.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,498 : 1,200,673 = 1,200,673 : x
  2. Step 2: Convert to fraction form
    589,498/1,200,673 = 1,200,673/x
  3. Step 3: Cross multiply
    589,498x = 1,200,673 × 1,200,673
  4. Step 4: Simplify right side
    589,498x = 1,441,615,652,929
  5. Step 5: Solve for x
    x = 1,441,615,652,929/589,498
  6. Step 6: Final answer
    x = 2,445,497.11

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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.