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Finding the Third Proportional to 745,306 and 1,608,640

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Solution

The third proportional to 745,306 and 1,608,640 is: 3,472,027.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    745,306 : 1,608,640 = 1,608,640 : x
  2. Step 2: Convert to fraction form
    745,306/1,608,640 = 1,608,640/x
  3. Step 3: Cross multiply
    745,306x = 1,608,640 × 1,608,640
  4. Step 4: Simplify right side
    745,306x = 2,587,722,649,600
  5. Step 5: Solve for x
    x = 2,587,722,649,600/745,306
  6. Step 6: Final answer
    x = 3,472,027.13

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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.