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Finding the Third Proportional to 389,470 and 851,030

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Solution

The third proportional to 389,470 and 851,030 is: 1,859,583.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,470 : 851,030 = 851,030 : x
  2. Step 2: Convert to fraction form
    389,470/851,030 = 851,030/x
  3. Step 3: Cross multiply
    389,470x = 851,030 × 851,030
  4. Step 4: Simplify right side
    389,470x = 724,252,060,900
  5. Step 5: Solve for x
    x = 724,252,060,900/389,470
  6. Step 6: Final answer
    x = 1,859,583.69

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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.