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Finding the Third Proportional to 614,308 and 1,277,662

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Solution

The third proportional to 614,308 and 1,277,662 is: 2,657,331.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,308 : 1,277,662 = 1,277,662 : x
  2. Step 2: Convert to fraction form
    614,308/1,277,662 = 1,277,662/x
  3. Step 3: Cross multiply
    614,308x = 1,277,662 × 1,277,662
  4. Step 4: Simplify right side
    614,308x = 1,632,420,186,244
  5. Step 5: Solve for x
    x = 1,632,420,186,244/614,308
  6. Step 6: Final answer
    x = 2,657,331.80

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.