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Finding the Third Proportional to 654,340 and 1,411,784

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Solution

The third proportional to 654,340 and 1,411,784 is: 3,046,022.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,340 : 1,411,784 = 1,411,784 : x
  2. Step 2: Convert to fraction form
    654,340/1,411,784 = 1,411,784/x
  3. Step 3: Cross multiply
    654,340x = 1,411,784 × 1,411,784
  4. Step 4: Simplify right side
    654,340x = 1,993,134,062,656
  5. Step 5: Solve for x
    x = 1,993,134,062,656/654,340
  6. Step 6: Final answer
    x = 3,046,022.04

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.