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Finding the Third Proportional to 662,511 and 1,033,132.50

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Solution

The third proportional to 662,511 and 1,033,132.50 is: 1,611,086.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,511 : 1,033,132.50 = 1,033,132.50 : x
  2. Step 2: Convert to fraction form
    662,511/1,033,132.50 = 1,033,132.50/x
  3. Step 3: Cross multiply
    662,511x = 1,033,132.50 × 1,033,132.50
  4. Step 4: Simplify right side
    662,511x = 1,067,362,762,556.25
  5. Step 5: Solve for x
    x = 1,067,362,762,556.25/662,511
  6. Step 6: Final answer
    x = 1,611,086.85

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.