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Finding the Third Proportional to 527,268 and 1,137,480

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Solution

The third proportional to 527,268 and 1,137,480 is: 2,453,895.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,268 : 1,137,480 = 1,137,480 : x
  2. Step 2: Convert to fraction form
    527,268/1,137,480 = 1,137,480/x
  3. Step 3: Cross multiply
    527,268x = 1,137,480 × 1,137,480
  4. Step 4: Simplify right side
    527,268x = 1,293,860,750,400
  5. Step 5: Solve for x
    x = 1,293,860,750,400/527,268
  6. Step 6: Final answer
    x = 2,453,895.84

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.