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Finding the Third Proportional to 863,020 and 1,834,904

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Solution

The third proportional to 863,020 and 1,834,904 is: 3,901,268.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    863,020 : 1,834,904 = 1,834,904 : x
  2. Step 2: Convert to fraction form
    863,020/1,834,904 = 1,834,904/x
  3. Step 3: Cross multiply
    863,020x = 1,834,904 × 1,834,904
  4. Step 4: Simplify right side
    863,020x = 3,366,872,689,216
  5. Step 5: Solve for x
    x = 3,366,872,689,216/863,020
  6. Step 6: Final answer
    x = 3,901,268.44

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.