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Finding the Third Proportional to 961,613 and 1,522,689.50

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Solution

The third proportional to 961,613 and 1,522,689.50 is: 2,411,139.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    961,613 : 1,522,689.50 = 1,522,689.50 : x
  2. Step 2: Convert to fraction form
    961,613/1,522,689.50 = 1,522,689.50/x
  3. Step 3: Cross multiply
    961,613x = 1,522,689.50 × 1,522,689.50
  4. Step 4: Simplify right side
    961,613x = 2,318,583,313,410.25
  5. Step 5: Solve for x
    x = 2,318,583,313,410.25/961,613
  6. Step 6: Final answer
    x = 2,411,139.73

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.