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Finding the Third Proportional to 727,946 and 1,531,165

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Solution

The third proportional to 727,946 and 1,531,165 is: 3,220,659.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,946 : 1,531,165 = 1,531,165 : x
  2. Step 2: Convert to fraction form
    727,946/1,531,165 = 1,531,165/x
  3. Step 3: Cross multiply
    727,946x = 1,531,165 × 1,531,165
  4. Step 4: Simplify right side
    727,946x = 2,344,466,257,225
  5. Step 5: Solve for x
    x = 2,344,466,257,225/727,946
  6. Step 6: Final answer
    x = 3,220,659.58

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.