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Finding the Third Proportional to 658,032 and 1,415,880

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Solution

The third proportional to 658,032 and 1,415,880 is: 3,046,532.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,032 : 1,415,880 = 1,415,880 : x
  2. Step 2: Convert to fraction form
    658,032/1,415,880 = 1,415,880/x
  3. Step 3: Cross multiply
    658,032x = 1,415,880 × 1,415,880
  4. Step 4: Simplify right side
    658,032x = 2,004,716,174,400
  5. Step 5: Solve for x
    x = 2,004,716,174,400/658,032
  6. Step 6: Final answer
    x = 3,046,532.96

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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.