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Finding the Third Proportional to 727,584 and 1,122,480

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Solution

The third proportional to 727,584 and 1,122,480 is: 1,731,705.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,584 : 1,122,480 = 1,122,480 : x
  2. Step 2: Convert to fraction form
    727,584/1,122,480 = 1,122,480/x
  3. Step 3: Cross multiply
    727,584x = 1,122,480 × 1,122,480
  4. Step 4: Simplify right side
    727,584x = 1,259,961,350,400
  5. Step 5: Solve for x
    x = 1,259,961,350,400/727,584
  6. Step 6: Final answer
    x = 1,731,705.69

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.