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Finding the Third Proportional to 478,480 and 1,036,232

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Solution

The third proportional to 478,480 and 1,036,232 is: 2,244,141.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,480 : 1,036,232 = 1,036,232 : x
  2. Step 2: Convert to fraction form
    478,480/1,036,232 = 1,036,232/x
  3. Step 3: Cross multiply
    478,480x = 1,036,232 × 1,036,232
  4. Step 4: Simplify right side
    478,480x = 1,073,776,757,824
  5. Step 5: Solve for x
    x = 1,073,776,757,824/478,480
  6. Step 6: Final answer
    x = 2,244,141.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.