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Finding the Third Proportional to 657,756 and 983,997

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Solution

The third proportional to 657,756 and 983,997 is: 1,472,050.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,756 : 983,997 = 983,997 : x
  2. Step 2: Convert to fraction form
    657,756/983,997 = 983,997/x
  3. Step 3: Cross multiply
    657,756x = 983,997 × 983,997
  4. Step 4: Simplify right side
    657,756x = 968,250,096,009
  5. Step 5: Solve for x
    x = 968,250,096,009/657,756
  6. Step 6: Final answer
    x = 1,472,050.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.