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Finding the Third Proportional to 657,983 and 991,839

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Solution

The third proportional to 657,983 and 991,839 is: 1,495,091.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,983 : 991,839 = 991,839 : x
  2. Step 2: Convert to fraction form
    657,983/991,839 = 991,839/x
  3. Step 3: Cross multiply
    657,983x = 991,839 × 991,839
  4. Step 4: Simplify right side
    657,983x = 983,744,601,921
  5. Step 5: Solve for x
    x = 983,744,601,921/657,983
  6. Step 6: Final answer
    x = 1,495,091.21

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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.