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Finding the Third Proportional to 525,141 and 1,069,560

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Solution

The third proportional to 525,141 and 1,069,560 is: 2,178,383.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,141 : 1,069,560 = 1,069,560 : x
  2. Step 2: Convert to fraction form
    525,141/1,069,560 = 1,069,560/x
  3. Step 3: Cross multiply
    525,141x = 1,069,560 × 1,069,560
  4. Step 4: Simplify right side
    525,141x = 1,143,958,593,600
  5. Step 5: Solve for x
    x = 1,143,958,593,600/525,141
  6. Step 6: Final answer
    x = 2,178,383.70

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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.