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Finding the Third Proportional to 349,944 and 819,453

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Solution

The third proportional to 349,944 and 819,453 is: 1,918,887.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,944 : 819,453 = 819,453 : x
  2. Step 2: Convert to fraction form
    349,944/819,453 = 819,453/x
  3. Step 3: Cross multiply
    349,944x = 819,453 × 819,453
  4. Step 4: Simplify right side
    349,944x = 671,503,219,209
  5. Step 5: Solve for x
    x = 671,503,219,209/349,944
  6. Step 6: Final answer
    x = 1,918,887.65

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.