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Finding the Third Proportional to 525,112 and 1,069,486

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Solution

The third proportional to 525,112 and 1,069,486 is: 2,178,202.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,112 : 1,069,486 = 1,069,486 : x
  2. Step 2: Convert to fraction form
    525,112/1,069,486 = 1,069,486/x
  3. Step 3: Cross multiply
    525,112x = 1,069,486 × 1,069,486
  4. Step 4: Simplify right side
    525,112x = 1,143,800,304,196
  5. Step 5: Solve for x
    x = 1,143,800,304,196/525,112
  6. Step 6: Final answer
    x = 2,178,202.56

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.