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Finding the Third Proportional to 851,181 and 1,264,711.50

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Solution

The third proportional to 851,181 and 1,264,711.50 is: 1,879,148.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    851,181 : 1,264,711.50 = 1,264,711.50 : x
  2. Step 2: Convert to fraction form
    851,181/1,264,711.50 = 1,264,711.50/x
  3. Step 3: Cross multiply
    851,181x = 1,264,711.50 × 1,264,711.50
  4. Step 4: Simplify right side
    851,181x = 1,599,495,178,232.25
  5. Step 5: Solve for x
    x = 1,599,495,178,232.25/851,181
  6. Step 6: Final answer
    x = 1,879,148.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.