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Finding the Third Proportional to 1,822,784 and 3,988,678

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Solution

The third proportional to 1,822,784 and 3,988,678 is: 8,728,160.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,822,784 : 3,988,678 = 3,988,678 : x
  2. Step 2: Convert to fraction form
    1,822,784/3,988,678 = 3,988,678/x
  3. Step 3: Cross multiply
    1,822,784x = 3,988,678 × 3,988,678
  4. Step 4: Simplify right side
    1,822,784x = 15,909,552,187,684
  5. Step 5: Solve for x
    x = 15,909,552,187,684/1,822,784
  6. Step 6: Final answer
    x = 8,728,160.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.