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Finding the Third Proportional to 852,951 and 1,824,000

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Solution

The third proportional to 852,951 and 1,824,000 is: 3,900,547.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,951 : 1,824,000 = 1,824,000 : x
  2. Step 2: Convert to fraction form
    852,951/1,824,000 = 1,824,000/x
  3. Step 3: Cross multiply
    852,951x = 1,824,000 × 1,824,000
  4. Step 4: Simplify right side
    852,951x = 3,326,976,000,000
  5. Step 5: Solve for x
    x = 3,326,976,000,000/852,951
  6. Step 6: Final answer
    x = 3,900,547.63

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.