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Finding the Third Proportional to 427,735 and 937,118

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Solution

The third proportional to 427,735 and 937,118 is: 2,053,117.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,735 : 937,118 = 937,118 : x
  2. Step 2: Convert to fraction form
    427,735/937,118 = 937,118/x
  3. Step 3: Cross multiply
    427,735x = 937,118 × 937,118
  4. Step 4: Simplify right side
    427,735x = 878,190,145,924
  5. Step 5: Solve for x
    x = 878,190,145,924/427,735
  6. Step 6: Final answer
    x = 2,053,117.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.