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Finding the Third Proportional to 484,644 and 1,028,040

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Solution

The third proportional to 484,644 and 1,028,040 is: 2,180,706.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,644 : 1,028,040 = 1,028,040 : x
  2. Step 2: Convert to fraction form
    484,644/1,028,040 = 1,028,040/x
  3. Step 3: Cross multiply
    484,644x = 1,028,040 × 1,028,040
  4. Step 4: Simplify right side
    484,644x = 1,056,866,241,600
  5. Step 5: Solve for x
    x = 1,056,866,241,600/484,644
  6. Step 6: Final answer
    x = 2,180,706.34

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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.