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Finding the Third Proportional to 862,840 and 1,306,324

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Solution

The third proportional to 862,840 and 1,306,324 is: 1,977,750.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    862,840 : 1,306,324 = 1,306,324 : x
  2. Step 2: Convert to fraction form
    862,840/1,306,324 = 1,306,324/x
  3. Step 3: Cross multiply
    862,840x = 1,306,324 × 1,306,324
  4. Step 4: Simplify right side
    862,840x = 1,706,482,392,976
  5. Step 5: Solve for x
    x = 1,706,482,392,976/862,840
  6. Step 6: Final answer
    x = 1,977,750.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.