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Finding the Third Proportional to 742,077 and 1,589,103

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Solution

The third proportional to 742,077 and 1,589,103 is: 3,402,946.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    742,077 : 1,589,103 = 1,589,103 : x
  2. Step 2: Convert to fraction form
    742,077/1,589,103 = 1,589,103/x
  3. Step 3: Cross multiply
    742,077x = 1,589,103 × 1,589,103
  4. Step 4: Simplify right side
    742,077x = 2,525,248,344,609
  5. Step 5: Solve for x
    x = 2,525,248,344,609/742,077
  6. Step 6: Final answer
    x = 3,402,946.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.