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Finding the Third Proportional to 657,936 and 991,764

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Solution

The third proportional to 657,936 and 991,764 is: 1,494,971.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,936 : 991,764 = 991,764 : x
  2. Step 2: Convert to fraction form
    657,936/991,764 = 991,764/x
  3. Step 3: Cross multiply
    657,936x = 991,764 × 991,764
  4. Step 4: Simplify right side
    657,936x = 983,595,831,696
  5. Step 5: Solve for x
    x = 983,595,831,696/657,936
  6. Step 6: Final answer
    x = 1,494,971.90

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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.