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Finding the Third Proportional to 862,072 and 1,884,648

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Solution

The third proportional to 862,072 and 1,884,648 is: 4,120,187.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    862,072 : 1,884,648 = 1,884,648 : x
  2. Step 2: Convert to fraction form
    862,072/1,884,648 = 1,884,648/x
  3. Step 3: Cross multiply
    862,072x = 1,884,648 × 1,884,648
  4. Step 4: Simplify right side
    862,072x = 3,551,898,083,904
  5. Step 5: Solve for x
    x = 3,551,898,083,904/862,072
  6. Step 6: Final answer
    x = 4,120,187.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.