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Finding the Third Proportional to 745,305 and 1,608,639

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Solution

The third proportional to 745,305 and 1,608,639 is: 3,472,027.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    745,305 : 1,608,639 = 1,608,639 : x
  2. Step 2: Convert to fraction form
    745,305/1,608,639 = 1,608,639/x
  3. Step 3: Cross multiply
    745,305x = 1,608,639 × 1,608,639
  4. Step 4: Simplify right side
    745,305x = 2,587,719,432,321
  5. Step 5: Solve for x
    x = 2,587,719,432,321/745,305
  6. Step 6: Final answer
    x = 3,472,027.47

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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.