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Finding the Third Proportional to 657,472 and 1,414,832

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Solution

The third proportional to 657,472 and 1,414,832 is: 3,044,615.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,472 : 1,414,832 = 1,414,832 : x
  2. Step 2: Convert to fraction form
    657,472/1,414,832 = 1,414,832/x
  3. Step 3: Cross multiply
    657,472x = 1,414,832 × 1,414,832
  4. Step 4: Simplify right side
    657,472x = 2,001,749,588,224
  5. Step 5: Solve for x
    x = 2,001,749,588,224/657,472
  6. Step 6: Final answer
    x = 3,044,615.72

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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.