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Finding the Third Proportional to 609,492 and 943,215

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Solution

The third proportional to 609,492 and 943,215 is: 1,459,665.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,492 : 943,215 = 943,215 : x
  2. Step 2: Convert to fraction form
    609,492/943,215 = 943,215/x
  3. Step 3: Cross multiply
    609,492x = 943,215 × 943,215
  4. Step 4: Simplify right side
    609,492x = 889,654,536,225
  5. Step 5: Solve for x
    x = 889,654,536,225/609,492
  6. Step 6: Final answer
    x = 1,459,665.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.