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Finding the Third Proportional to 375,182 and 819,242

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Solution

The third proportional to 375,182 and 819,242 is: 1,788,885.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,182 : 819,242 = 819,242 : x
  2. Step 2: Convert to fraction form
    375,182/819,242 = 819,242/x
  3. Step 3: Cross multiply
    375,182x = 819,242 × 819,242
  4. Step 4: Simplify right side
    375,182x = 671,157,454,564
  5. Step 5: Solve for x
    x = 671,157,454,564/375,182
  6. Step 6: Final answer
    x = 1,788,885.01

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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.