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Finding the Third Proportional to 829,269 and 1,742,103

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Solution

The third proportional to 829,269 and 1,742,103 is: 3,659,756.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,269 : 1,742,103 = 1,742,103 : x
  2. Step 2: Convert to fraction form
    829,269/1,742,103 = 1,742,103/x
  3. Step 3: Cross multiply
    829,269x = 1,742,103 × 1,742,103
  4. Step 4: Simplify right side
    829,269x = 3,034,922,862,609
  5. Step 5: Solve for x
    x = 3,034,922,862,609/829,269
  6. Step 6: Final answer
    x = 3,659,756.80

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.