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Finding the Third Proportional to 680,437 and 1,464,875

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Solution

The third proportional to 680,437 and 1,464,875 is: 3,153,647.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,437 : 1,464,875 = 1,464,875 : x
  2. Step 2: Convert to fraction form
    680,437/1,464,875 = 1,464,875/x
  3. Step 3: Cross multiply
    680,437x = 1,464,875 × 1,464,875
  4. Step 4: Simplify right side
    680,437x = 2,145,858,765,625
  5. Step 5: Solve for x
    x = 2,145,858,765,625/680,437
  6. Step 6: Final answer
    x = 3,153,647.97

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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.