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Finding the Third Proportional to 456,032 and 999,625

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Solution

The third proportional to 456,032 and 999,625 is: 2,191,184.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,032 : 999,625 = 999,625 : x
  2. Step 2: Convert to fraction form
    456,032/999,625 = 999,625/x
  3. Step 3: Cross multiply
    456,032x = 999,625 × 999,625
  4. Step 4: Simplify right side
    456,032x = 999,250,140,625
  5. Step 5: Solve for x
    x = 999,250,140,625/456,032
  6. Step 6: Final answer
    x = 2,191,184.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.