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Finding the Third Proportional to 863,404 and 1,307,148

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Solution

The third proportional to 863,404 and 1,307,148 is: 1,978,952.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    863,404 : 1,307,148 = 1,307,148 : x
  2. Step 2: Convert to fraction form
    863,404/1,307,148 = 1,307,148/x
  3. Step 3: Cross multiply
    863,404x = 1,307,148 × 1,307,148
  4. Step 4: Simplify right side
    863,404x = 1,708,635,893,904
  5. Step 5: Solve for x
    x = 1,708,635,893,904/863,404
  6. Step 6: Final answer
    x = 1,978,952.95

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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.