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Finding the Third Proportional to 658,536 and 1,415,256

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Solution

The third proportional to 658,536 and 1,415,256 is: 3,041,518.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,536 : 1,415,256 = 1,415,256 : x
  2. Step 2: Convert to fraction form
    658,536/1,415,256 = 1,415,256/x
  3. Step 3: Cross multiply
    658,536x = 1,415,256 × 1,415,256
  4. Step 4: Simplify right side
    658,536x = 2,002,949,545,536
  5. Step 5: Solve for x
    x = 2,002,949,545,536/658,536
  6. Step 6: Final answer
    x = 3,041,518.68

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