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Finding the Third Proportional to 457,668 and 947,160

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Solution

The third proportional to 457,668 and 947,160 is: 1,960,180.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,668 : 947,160 = 947,160 : x
  2. Step 2: Convert to fraction form
    457,668/947,160 = 947,160/x
  3. Step 3: Cross multiply
    457,668x = 947,160 × 947,160
  4. Step 4: Simplify right side
    457,668x = 897,112,065,600
  5. Step 5: Solve for x
    x = 897,112,065,600/457,668
  6. Step 6: Final answer
    x = 1,960,180.89

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.