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Finding the Third Proportional to 374,814 and 819,531

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Solution

The third proportional to 374,814 and 819,531 is: 1,791,904.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,814 : 819,531 = 819,531 : x
  2. Step 2: Convert to fraction form
    374,814/819,531 = 819,531/x
  3. Step 3: Cross multiply
    374,814x = 819,531 × 819,531
  4. Step 4: Simplify right side
    374,814x = 671,631,059,961
  5. Step 5: Solve for x
    x = 671,631,059,961/374,814
  6. Step 6: Final answer
    x = 1,791,904.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.