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Finding the Third Proportional to 657,679 and 1,415,174

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Solution

The third proportional to 657,679 and 1,415,174 is: 3,045,129.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,679 : 1,415,174 = 1,415,174 : x
  2. Step 2: Convert to fraction form
    657,679/1,415,174 = 1,415,174/x
  3. Step 3: Cross multiply
    657,679x = 1,415,174 × 1,415,174
  4. Step 4: Simplify right side
    657,679x = 2,002,717,450,276
  5. Step 5: Solve for x
    x = 2,002,717,450,276/657,679
  6. Step 6: Final answer
    x = 3,045,129.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.