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Finding the Third Proportional to 832,500 and 1,828,656

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Solution

The third proportional to 832,500 and 1,828,656 is: 4,016,796.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,500 : 1,828,656 = 1,828,656 : x
  2. Step 2: Convert to fraction form
    832,500/1,828,656 = 1,828,656/x
  3. Step 3: Cross multiply
    832,500x = 1,828,656 × 1,828,656
  4. Step 4: Simplify right side
    832,500x = 3,343,982,766,336
  5. Step 5: Solve for x
    x = 3,343,982,766,336/832,500
  6. Step 6: Final answer
    x = 4,016,796.12

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.