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Finding the Third Proportional to 453,082 and 975,593

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Solution

The third proportional to 453,082 and 975,593 is: 2,100,683.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,082 : 975,593 = 975,593 : x
  2. Step 2: Convert to fraction form
    453,082/975,593 = 975,593/x
  3. Step 3: Cross multiply
    453,082x = 975,593 × 975,593
  4. Step 4: Simplify right side
    453,082x = 951,781,701,649
  5. Step 5: Solve for x
    x = 951,781,701,649/453,082
  6. Step 6: Final answer
    x = 2,100,683.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.