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Finding the Third Proportional to 453,476 and 988,591

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Solution

The third proportional to 453,476 and 988,591 is: 2,155,157.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,476 : 988,591 = 988,591 : x
  2. Step 2: Convert to fraction form
    453,476/988,591 = 988,591/x
  3. Step 3: Cross multiply
    453,476x = 988,591 × 988,591
  4. Step 4: Simplify right side
    453,476x = 977,312,165,281
  5. Step 5: Solve for x
    x = 977,312,165,281/453,476
  6. Step 6: Final answer
    x = 2,155,157.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.