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Finding the Third Proportional to 657,153 and 994,498

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Solution

The third proportional to 657,153 and 994,498 is: 1,505,016.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,153 : 994,498 = 994,498 : x
  2. Step 2: Convert to fraction form
    657,153/994,498 = 994,498/x
  3. Step 3: Cross multiply
    657,153x = 994,498 × 994,498
  4. Step 4: Simplify right side
    657,153x = 989,026,272,004
  5. Step 5: Solve for x
    x = 989,026,272,004/657,153
  6. Step 6: Final answer
    x = 1,505,016.75

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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.