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Finding the Third Proportional to 389,460 and 851,010

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Solution

The third proportional to 389,460 and 851,010 is: 1,859,544.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,460 : 851,010 = 851,010 : x
  2. Step 2: Convert to fraction form
    389,460/851,010 = 851,010/x
  3. Step 3: Cross multiply
    389,460x = 851,010 × 851,010
  4. Step 4: Simplify right side
    389,460x = 724,218,020,100
  5. Step 5: Solve for x
    x = 724,218,020,100/389,460
  6. Step 6: Final answer
    x = 1,859,544.04

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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.