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Finding the Third Proportional to 918,872 and 1,949,072

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Solution

The third proportional to 918,872 and 1,949,072 is: 4,134,288.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    918,872 : 1,949,072 = 1,949,072 : x
  2. Step 2: Convert to fraction form
    918,872/1,949,072 = 1,949,072/x
  3. Step 3: Cross multiply
    918,872x = 1,949,072 × 1,949,072
  4. Step 4: Simplify right side
    918,872x = 3,798,881,661,184
  5. Step 5: Solve for x
    x = 3,798,881,661,184/918,872
  6. Step 6: Final answer
    x = 4,134,288.19

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.