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Finding the Third Proportional to 474,160 and 1,033,532

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Solution

The third proportional to 474,160 and 1,033,532 is: 2,252,801.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,160 : 1,033,532 = 1,033,532 : x
  2. Step 2: Convert to fraction form
    474,160/1,033,532 = 1,033,532/x
  3. Step 3: Cross multiply
    474,160x = 1,033,532 × 1,033,532
  4. Step 4: Simplify right side
    474,160x = 1,068,188,395,024
  5. Step 5: Solve for x
    x = 1,068,188,395,024/474,160
  6. Step 6: Final answer
    x = 2,252,801.58

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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.