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Finding the Third Proportional to 745,323 and 1,608,663

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Solution

The third proportional to 745,323 and 1,608,663 is: 3,472,047.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    745,323 : 1,608,663 = 1,608,663 : x
  2. Step 2: Convert to fraction form
    745,323/1,608,663 = 1,608,663/x
  3. Step 3: Cross multiply
    745,323x = 1,608,663 × 1,608,663
  4. Step 4: Simplify right side
    745,323x = 2,587,796,647,569
  5. Step 5: Solve for x
    x = 2,587,796,647,569/745,323
  6. Step 6: Final answer
    x = 3,472,047.22

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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.