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Finding the Third Proportional to 474,480 and 1,036,512

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Solution

The third proportional to 474,480 and 1,036,512 is: 2,264,283.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,480 : 1,036,512 = 1,036,512 : x
  2. Step 2: Convert to fraction form
    474,480/1,036,512 = 1,036,512/x
  3. Step 3: Cross multiply
    474,480x = 1,036,512 × 1,036,512
  4. Step 4: Simplify right side
    474,480x = 1,074,357,126,144
  5. Step 5: Solve for x
    x = 1,074,357,126,144/474,480
  6. Step 6: Final answer
    x = 2,264,283.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.