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Finding the Third Proportional to 647,838 and 1,016,172

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Solution

The third proportional to 647,838 and 1,016,172 is: 1,593,925.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,838 : 1,016,172 = 1,016,172 : x
  2. Step 2: Convert to fraction form
    647,838/1,016,172 = 1,016,172/x
  3. Step 3: Cross multiply
    647,838x = 1,016,172 × 1,016,172
  4. Step 4: Simplify right side
    647,838x = 1,032,605,533,584
  5. Step 5: Solve for x
    x = 1,032,605,533,584/647,838
  6. Step 6: Final answer
    x = 1,593,925.54

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.