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Finding the Third Proportional to 745,380 and 1,609,416

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Solution

The third proportional to 745,380 and 1,609,416 is: 3,475,032.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    745,380 : 1,609,416 = 1,609,416 : x
  2. Step 2: Convert to fraction form
    745,380/1,609,416 = 1,609,416/x
  3. Step 3: Cross multiply
    745,380x = 1,609,416 × 1,609,416
  4. Step 4: Simplify right side
    745,380x = 2,590,219,861,056
  5. Step 5: Solve for x
    x = 2,590,219,861,056/745,380
  6. Step 6: Final answer
    x = 3,475,032.68

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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.