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Finding the Third Proportional to 543,684 and 1,176,969.75

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Solution

The third proportional to 543,684 and 1,176,969.75 is: 2,547,909.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,684 : 1,176,969.75 = 1,176,969.75 : x
  2. Step 2: Convert to fraction form
    543,684/1,176,969.75 = 1,176,969.75/x
  3. Step 3: Cross multiply
    543,684x = 1,176,969.75 × 1,176,969.75
  4. Step 4: Simplify right side
    543,684x = 1,385,257,792,415.06
  5. Step 5: Solve for x
    x = 1,385,257,792,415.06/543,684
  6. Step 6: Final answer
    x = 2,547,909.80

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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.