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Finding the Third Proportional to 947,999 and 1,341,385

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Solution

The third proportional to 947,999 and 1,341,385 is: 1,898,012.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,999 : 1,341,385 = 1,341,385 : x
  2. Step 2: Convert to fraction form
    947,999/1,341,385 = 1,341,385/x
  3. Step 3: Cross multiply
    947,999x = 1,341,385 × 1,341,385
  4. Step 4: Simplify right side
    947,999x = 1,799,313,718,225
  5. Step 5: Solve for x
    x = 1,799,313,718,225/947,999
  6. Step 6: Final answer
    x = 1,898,012.25

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.