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Finding the Third Proportional to 1,287,445.50 and 1,947,735

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Solution

The third proportional to 1,287,445.50 and 1,947,735 is: 2,946,665.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287,445.50 : 1,947,735 = 1,947,735 : x
  2. Step 2: Convert to fraction form
    1,287,445.50/1,947,735 = 1,947,735/x
  3. Step 3: Cross multiply
    1,287,445.50x = 1,947,735 × 1,947,735
  4. Step 4: Simplify right side
    1,287,445.50x = 3,793,671,630,225
  5. Step 5: Solve for x
    x = 3,793,671,630,225/1,287,445.50
  6. Step 6: Final answer
    x = 2,946,665.80

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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.