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Finding the Third Proportional to 878,449 and 1,833,146

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Solution

The third proportional to 878,449 and 1,833,146 is: 3,825,406.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    878,449 : 1,833,146 = 1,833,146 : x
  2. Step 2: Convert to fraction form
    878,449/1,833,146 = 1,833,146/x
  3. Step 3: Cross multiply
    878,449x = 1,833,146 × 1,833,146
  4. Step 4: Simplify right side
    878,449x = 3,360,424,257,316
  5. Step 5: Solve for x
    x = 3,360,424,257,316/878,449
  6. Step 6: Final answer
    x = 3,825,406.21

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.