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Finding the Third Proportional to 657,994 and 991,852

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Solution

The third proportional to 657,994 and 991,852 is: 1,495,105.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,994 : 991,852 = 991,852 : x
  2. Step 2: Convert to fraction form
    657,994/991,852 = 991,852/x
  3. Step 3: Cross multiply
    657,994x = 991,852 × 991,852
  4. Step 4: Simplify right side
    657,994x = 983,770,389,904
  5. Step 5: Solve for x
    x = 983,770,389,904/657,994
  6. Step 6: Final answer
    x = 1,495,105.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.