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Finding the Third Proportional to 478,388 and 987,872

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Solution

The third proportional to 478,388 and 987,872 is: 2,039,957.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,388 : 987,872 = 987,872 : x
  2. Step 2: Convert to fraction form
    478,388/987,872 = 987,872/x
  3. Step 3: Cross multiply
    478,388x = 987,872 × 987,872
  4. Step 4: Simplify right side
    478,388x = 975,891,088,384
  5. Step 5: Solve for x
    x = 975,891,088,384/478,388
  6. Step 6: Final answer
    x = 2,039,957.29

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.