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Finding the Third Proportional to 782,173 and 1,883,677.50

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Solution

The third proportional to 782,173 and 1,883,677.50 is: 4,536,388.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,173 : 1,883,677.50 = 1,883,677.50 : x
  2. Step 2: Convert to fraction form
    782,173/1,883,677.50 = 1,883,677.50/x
  3. Step 3: Cross multiply
    782,173x = 1,883,677.50 × 1,883,677.50
  4. Step 4: Simplify right side
    782,173x = 3,548,240,924,006.25
  5. Step 5: Solve for x
    x = 3,548,240,924,006.25/782,173
  6. Step 6: Final answer
    x = 4,536,388.91

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.