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Finding the Third Proportional to 543,698.25 and 1,176,996

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Solution

The third proportional to 543,698.25 and 1,176,996 is: 2,547,956.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,698.25 : 1,176,996 = 1,176,996 : x
  2. Step 2: Convert to fraction form
    543,698.25/1,176,996 = 1,176,996/x
  3. Step 3: Cross multiply
    543,698.25x = 1,176,996 × 1,176,996
  4. Step 4: Simplify right side
    543,698.25x = 1,385,319,584,016
  5. Step 5: Solve for x
    x = 1,385,319,584,016/543,698.25
  6. Step 6: Final answer
    x = 2,547,956.67

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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.