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Finding the Third Proportional to 657,151 and 994,494

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Solution

The third proportional to 657,151 and 994,494 is: 1,505,009.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,151 : 994,494 = 994,494 : x
  2. Step 2: Convert to fraction form
    657,151/994,494 = 994,494/x
  3. Step 3: Cross multiply
    657,151x = 994,494 × 994,494
  4. Step 4: Simplify right side
    657,151x = 989,018,316,036
  5. Step 5: Solve for x
    x = 989,018,316,036/657,151
  6. Step 6: Final answer
    x = 1,505,009.22

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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.