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Finding the Third Proportional to 912,838 and 1,947,802

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Solution

The third proportional to 912,838 and 1,947,802 is: 4,156,194.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    912,838 : 1,947,802 = 1,947,802 : x
  2. Step 2: Convert to fraction form
    912,838/1,947,802 = 1,947,802/x
  3. Step 3: Cross multiply
    912,838x = 1,947,802 × 1,947,802
  4. Step 4: Simplify right side
    912,838x = 3,793,932,631,204
  5. Step 5: Solve for x
    x = 3,793,932,631,204/912,838
  6. Step 6: Final answer
    x = 4,156,194.89

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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.