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Finding the Third Proportional to 879,240 and 1,882,864

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Solution

The third proportional to 879,240 and 1,882,864 is: 4,032,092.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    879,240 : 1,882,864 = 1,882,864 : x
  2. Step 2: Convert to fraction form
    879,240/1,882,864 = 1,882,864/x
  3. Step 3: Cross multiply
    879,240x = 1,882,864 × 1,882,864
  4. Step 4: Simplify right side
    879,240x = 3,545,176,842,496
  5. Step 5: Solve for x
    x = 3,545,176,842,496/879,240
  6. Step 6: Final answer
    x = 4,032,092.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.