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Finding the Third Proportional to 851,460 and 1,269,810

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Solution

The third proportional to 851,460 and 1,269,810 is: 1,893,708.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    851,460 : 1,269,810 = 1,269,810 : x
  2. Step 2: Convert to fraction form
    851,460/1,269,810 = 1,269,810/x
  3. Step 3: Cross multiply
    851,460x = 1,269,810 × 1,269,810
  4. Step 4: Simplify right side
    851,460x = 1,612,417,436,100
  5. Step 5: Solve for x
    x = 1,612,417,436,100/851,460
  6. Step 6: Final answer
    x = 1,893,708.97

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.