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Finding the Third Proportional to 442,148.63 and 947,386.13

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Solution

The third proportional to 442,148.63 and 947,386.13 is: 2,029,951.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,148.63 : 947,386.13 = 947,386.13 : x
  2. Step 2: Convert to fraction form
    442,148.63/947,386.13 = 947,386.13/x
  3. Step 3: Cross multiply
    442,148.63x = 947,386.13 × 947,386.13
  4. Step 4: Simplify right side
    442,148.63x = 897,540,469,842.52
  5. Step 5: Solve for x
    x = 897,540,469,842.52/442,148.63
  6. Step 6: Final answer
    x = 2,029,951.96

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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.