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Finding the Third Proportional to 805,344 and 1,736,784

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Solution

The third proportional to 805,344 and 1,736,784 is: 3,745,503.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    805,344 : 1,736,784 = 1,736,784 : x
  2. Step 2: Convert to fraction form
    805,344/1,736,784 = 1,736,784/x
  3. Step 3: Cross multiply
    805,344x = 1,736,784 × 1,736,784
  4. Step 4: Simplify right side
    805,344x = 3,016,418,662,656
  5. Step 5: Solve for x
    x = 3,016,418,662,656/805,344
  6. Step 6: Final answer
    x = 3,745,503.37

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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.