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Finding the Third Proportional to 745,319 and 1,608,655

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Solution

The third proportional to 745,319 and 1,608,655 is: 3,472,031.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    745,319 : 1,608,655 = 1,608,655 : x
  2. Step 2: Convert to fraction form
    745,319/1,608,655 = 1,608,655/x
  3. Step 3: Cross multiply
    745,319x = 1,608,655 × 1,608,655
  4. Step 4: Simplify right side
    745,319x = 2,587,770,909,025
  5. Step 5: Solve for x
    x = 2,587,770,909,025/745,319
  6. Step 6: Final answer
    x = 3,472,031.32

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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.