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Finding the Third Proportional to 904,205 and 1,231,371

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Solution

The third proportional to 904,205 and 1,231,371 is: 1,676,914.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    904,205 : 1,231,371 = 1,231,371 : x
  2. Step 2: Convert to fraction form
    904,205/1,231,371 = 1,231,371/x
  3. Step 3: Cross multiply
    904,205x = 1,231,371 × 1,231,371
  4. Step 4: Simplify right side
    904,205x = 1,516,274,539,641
  5. Step 5: Solve for x
    x = 1,516,274,539,641/904,205
  6. Step 6: Final answer
    x = 1,676,914.57

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.