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Finding the Third Proportional to 737,584 and 1,502,240

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Solution

The third proportional to 737,584 and 1,502,240 is: 3,059,617.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    737,584 : 1,502,240 = 1,502,240 : x
  2. Step 2: Convert to fraction form
    737,584/1,502,240 = 1,502,240/x
  3. Step 3: Cross multiply
    737,584x = 1,502,240 × 1,502,240
  4. Step 4: Simplify right side
    737,584x = 2,256,725,017,600
  5. Step 5: Solve for x
    x = 2,256,725,017,600/737,584
  6. Step 6: Final answer
    x = 3,059,617.64

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.