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Finding the Third Proportional to 745,050 and 1,609,140

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Solution

The third proportional to 745,050 and 1,609,140 is: 3,475,379.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    745,050 : 1,609,140 = 1,609,140 : x
  2. Step 2: Convert to fraction form
    745,050/1,609,140 = 1,609,140/x
  3. Step 3: Cross multiply
    745,050x = 1,609,140 × 1,609,140
  4. Step 4: Simplify right side
    745,050x = 2,589,331,539,600
  5. Step 5: Solve for x
    x = 2,589,331,539,600/745,050
  6. Step 6: Final answer
    x = 3,475,379.56

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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.