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Finding the Third Proportional to 960,085 and 1,546,535

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Solution

The third proportional to 960,085 and 1,546,535 is: 2,491,207.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    960,085 : 1,546,535 = 1,546,535 : x
  2. Step 2: Convert to fraction form
    960,085/1,546,535 = 1,546,535/x
  3. Step 3: Cross multiply
    960,085x = 1,546,535 × 1,546,535
  4. Step 4: Simplify right side
    960,085x = 2,391,770,506,225
  5. Step 5: Solve for x
    x = 2,391,770,506,225/960,085
  6. Step 6: Final answer
    x = 2,491,207.04

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.