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Finding the Third Proportional to 657,240 and 1,058,148

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Solution

The third proportional to 657,240 and 1,058,148 is: 1,703,604.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,240 : 1,058,148 = 1,058,148 : x
  2. Step 2: Convert to fraction form
    657,240/1,058,148 = 1,058,148/x
  3. Step 3: Cross multiply
    657,240x = 1,058,148 × 1,058,148
  4. Step 4: Simplify right side
    657,240x = 1,119,677,189,904
  5. Step 5: Solve for x
    x = 1,119,677,189,904/657,240
  6. Step 6: Final answer
    x = 1,703,604.76

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.