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Finding the Third Proportional to 448,781 and 972,331

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Solution

The third proportional to 448,781 and 972,331 is: 2,106,656.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,781 : 972,331 = 972,331 : x
  2. Step 2: Convert to fraction form
    448,781/972,331 = 972,331/x
  3. Step 3: Cross multiply
    448,781x = 972,331 × 972,331
  4. Step 4: Simplify right side
    448,781x = 945,427,573,561
  5. Step 5: Solve for x
    x = 945,427,573,561/448,781
  6. Step 6: Final answer
    x = 2,106,656.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.