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Finding the Third Proportional to 492,525 and 1,078,468.31

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Solution

The third proportional to 492,525 and 1,078,468.31 is: 2,361,492.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,525 : 1,078,468.31 = 1,078,468.31 : x
  2. Step 2: Convert to fraction form
    492,525/1,078,468.31 = 1,078,468.31/x
  3. Step 3: Cross multiply
    492,525x = 1,078,468.31 × 1,078,468.31
  4. Step 4: Simplify right side
    492,525x = 1,163,093,901,066.60
  5. Step 5: Solve for x
    x = 1,163,093,901,066.60/492,525
  6. Step 6: Final answer
    x = 2,361,492.11

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