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Finding the Third Proportional to 810,072 and 1,875,383

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Solution

The third proportional to 810,072 and 1,875,383 is: 4,341,665.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    810,072 : 1,875,383 = 1,875,383 : x
  2. Step 2: Convert to fraction form
    810,072/1,875,383 = 1,875,383/x
  3. Step 3: Cross multiply
    810,072x = 1,875,383 × 1,875,383
  4. Step 4: Simplify right side
    810,072x = 3,517,061,396,689
  5. Step 5: Solve for x
    x = 3,517,061,396,689/810,072
  6. Step 6: Final answer
    x = 4,341,665.18

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.