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Finding the Third Proportional to 778,085 and 1,594,575.50

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Solution

The third proportional to 778,085 and 1,594,575.50 is: 3,267,857.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,085 : 1,594,575.50 = 1,594,575.50 : x
  2. Step 2: Convert to fraction form
    778,085/1,594,575.50 = 1,594,575.50/x
  3. Step 3: Cross multiply
    778,085x = 1,594,575.50 × 1,594,575.50
  4. Step 4: Simplify right side
    778,085x = 2,542,671,025,200.25
  5. Step 5: Solve for x
    x = 2,542,671,025,200.25/778,085
  6. Step 6: Final answer
    x = 3,267,857.66

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.