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Finding the Third Proportional to 737,424 and 1,617,360

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Solution

The third proportional to 737,424 and 1,617,360 is: 3,547,285.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    737,424 : 1,617,360 = 1,617,360 : x
  2. Step 2: Convert to fraction form
    737,424/1,617,360 = 1,617,360/x
  3. Step 3: Cross multiply
    737,424x = 1,617,360 × 1,617,360
  4. Step 4: Simplify right side
    737,424x = 2,615,853,369,600
  5. Step 5: Solve for x
    x = 2,615,853,369,600/737,424
  6. Step 6: Final answer
    x = 3,547,285.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.