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Finding the Third Proportional to 442,124.38 and 947,276.63

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Solution

The third proportional to 442,124.38 and 947,276.63 is: 2,029,594.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,124.38 : 947,276.63 = 947,276.63 : x
  2. Step 2: Convert to fraction form
    442,124.38/947,276.63 = 947,276.63/x
  3. Step 3: Cross multiply
    442,124.38x = 947,276.63 × 947,276.63
  4. Step 4: Simplify right side
    442,124.38x = 897,333,004,271.39
  5. Step 5: Solve for x
    x = 897,333,004,271.39/442,124.38
  6. Step 6: Final answer
    x = 2,029,594.06

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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.