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Finding the Third Proportional to 1,287,420.75 and 1,947,702.75

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Solution

The third proportional to 1,287,420.75 and 1,947,702.75 is: 2,946,624.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287,420.75 : 1,947,702.75 = 1,947,702.75 : x
  2. Step 2: Convert to fraction form
    1,287,420.75/1,947,702.75 = 1,947,702.75/x
  3. Step 3: Cross multiply
    1,287,420.75x = 1,947,702.75 × 1,947,702.75
  4. Step 4: Simplify right side
    1,287,420.75x = 3,793,546,002,357.56
  5. Step 5: Solve for x
    x = 3,793,546,002,357.56/1,287,420.75
  6. Step 6: Final answer
    x = 2,946,624.87

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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.