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Finding the Third Proportional to 525,102.12 and 1,069,465.78

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Solution

The third proportional to 525,102.12 and 1,069,465.78 is: 2,178,161.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,102.12 : 1,069,465.78 = 1,069,465.78 : x
  2. Step 2: Convert to fraction form
    525,102.12/1,069,465.78 = 1,069,465.78/x
  3. Step 3: Cross multiply
    525,102.12x = 1,069,465.78 × 1,069,465.78
  4. Step 4: Simplify right side
    525,102.12x = 1,143,757,057,264.67
  5. Step 5: Solve for x
    x = 1,143,757,057,264.67/525,102.12
  6. Step 6: Final answer
    x = 2,178,161.20

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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.