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Finding the Third Proportional to 657,147 and 1,014,738

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Solution

The third proportional to 657,147 and 1,014,738 is: 1,566,914.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,147 : 1,014,738 = 1,014,738 : x
  2. Step 2: Convert to fraction form
    657,147/1,014,738 = 1,014,738/x
  3. Step 3: Cross multiply
    657,147x = 1,014,738 × 1,014,738
  4. Step 4: Simplify right side
    657,147x = 1,029,693,208,644
  5. Step 5: Solve for x
    x = 1,029,693,208,644/657,147
  6. Step 6: Final answer
    x = 1,566,914.57

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.