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Finding the Third Proportional to 472,014 and 1,010,772

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Solution

The third proportional to 472,014 and 1,010,772 is: 2,164,469.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,014 : 1,010,772 = 1,010,772 : x
  2. Step 2: Convert to fraction form
    472,014/1,010,772 = 1,010,772/x
  3. Step 3: Cross multiply
    472,014x = 1,010,772 × 1,010,772
  4. Step 4: Simplify right side
    472,014x = 1,021,660,035,984
  5. Step 5: Solve for x
    x = 1,021,660,035,984/472,014
  6. Step 6: Final answer
    x = 2,164,469.77

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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.