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Finding the Third Proportional to 852,540 and 1,272,960

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Solution

The third proportional to 852,540 and 1,272,960 is: 1,900,705.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,540 : 1,272,960 = 1,272,960 : x
  2. Step 2: Convert to fraction form
    852,540/1,272,960 = 1,272,960/x
  3. Step 3: Cross multiply
    852,540x = 1,272,960 × 1,272,960
  4. Step 4: Simplify right side
    852,540x = 1,620,427,161,600
  5. Step 5: Solve for x
    x = 1,620,427,161,600/852,540
  6. Step 6: Final answer
    x = 1,900,705.14

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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.