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Finding the Third Proportional to 745,429 and 1,608,884

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Solution

The third proportional to 745,429 and 1,608,884 is: 3,472,507.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    745,429 : 1,608,884 = 1,608,884 : x
  2. Step 2: Convert to fraction form
    745,429/1,608,884 = 1,608,884/x
  3. Step 3: Cross multiply
    745,429x = 1,608,884 × 1,608,884
  4. Step 4: Simplify right side
    745,429x = 2,588,507,725,456
  5. Step 5: Solve for x
    x = 2,588,507,725,456/745,429
  6. Step 6: Final answer
    x = 3,472,507.41

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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.