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Finding the Third Proportional to 527,778 and 1,150,284

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Solution

The third proportional to 527,778 and 1,150,284 is: 2,507,026.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,778 : 1,150,284 = 1,150,284 : x
  2. Step 2: Convert to fraction form
    527,778/1,150,284 = 1,150,284/x
  3. Step 3: Cross multiply
    527,778x = 1,150,284 × 1,150,284
  4. Step 4: Simplify right side
    527,778x = 1,323,153,280,656
  5. Step 5: Solve for x
    x = 1,323,153,280,656/527,778
  6. Step 6: Final answer
    x = 2,507,026.21

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.