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Finding the Third Proportional to 1,645,344 and 3,668,784

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Solution

The third proportional to 1,645,344 and 3,668,784 is: 8,180,645.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645,344 : 3,668,784 = 3,668,784 : x
  2. Step 2: Convert to fraction form
    1,645,344/3,668,784 = 3,668,784/x
  3. Step 3: Cross multiply
    1,645,344x = 3,668,784 × 3,668,784
  4. Step 4: Simplify right side
    1,645,344x = 13,459,976,038,656
  5. Step 5: Solve for x
    x = 13,459,976,038,656/1,645,344
  6. Step 6: Final answer
    x = 8,180,645.53

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.