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Finding the Third Proportional to 533,661 and 1,155,895.50

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Solution

The third proportional to 533,661 and 1,155,895.50 is: 2,503,638.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,661 : 1,155,895.50 = 1,155,895.50 : x
  2. Step 2: Convert to fraction form
    533,661/1,155,895.50 = 1,155,895.50/x
  3. Step 3: Cross multiply
    533,661x = 1,155,895.50 × 1,155,895.50
  4. Step 4: Simplify right side
    533,661x = 1,336,094,406,920.25
  5. Step 5: Solve for x
    x = 1,336,094,406,920.25/533,661
  6. Step 6: Final answer
    x = 2,503,638.84

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.