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Finding the Third Proportional to 864,434 and 1,268,625

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Solution

The third proportional to 864,434 and 1,268,625 is: 1,861,807.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    864,434 : 1,268,625 = 1,268,625 : x
  2. Step 2: Convert to fraction form
    864,434/1,268,625 = 1,268,625/x
  3. Step 3: Cross multiply
    864,434x = 1,268,625 × 1,268,625
  4. Step 4: Simplify right side
    864,434x = 1,609,409,390,625
  5. Step 5: Solve for x
    x = 1,609,409,390,625/864,434
  6. Step 6: Final answer
    x = 1,861,807.14

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.