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Finding the Third Proportional to 391,042 and 856,827

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Solution

The third proportional to 391,042 and 856,827 is: 1,877,426.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,042 : 856,827 = 856,827 : x
  2. Step 2: Convert to fraction form
    391,042/856,827 = 856,827/x
  3. Step 3: Cross multiply
    391,042x = 856,827 × 856,827
  4. Step 4: Simplify right side
    391,042x = 734,152,507,929
  5. Step 5: Solve for x
    x = 734,152,507,929/391,042
  6. Step 6: Final answer
    x = 1,877,426.23

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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.