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Finding the Third Proportional to 530,772 and 1,165,784

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Solution

The third proportional to 530,772 and 1,165,784 is: 2,560,520.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,772 : 1,165,784 = 1,165,784 : x
  2. Step 2: Convert to fraction form
    530,772/1,165,784 = 1,165,784/x
  3. Step 3: Cross multiply
    530,772x = 1,165,784 × 1,165,784
  4. Step 4: Simplify right side
    530,772x = 1,359,052,334,656
  5. Step 5: Solve for x
    x = 1,359,052,334,656/530,772
  6. Step 6: Final answer
    x = 2,560,520.02

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.