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Finding the Third Proportional to 560,400 and 1,216,060

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Solution

The third proportional to 560,400 and 1,216,060 is: 2,638,832.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,400 : 1,216,060 = 1,216,060 : x
  2. Step 2: Convert to fraction form
    560,400/1,216,060 = 1,216,060/x
  3. Step 3: Cross multiply
    560,400x = 1,216,060 × 1,216,060
  4. Step 4: Simplify right side
    560,400x = 1,478,801,923,600
  5. Step 5: Solve for x
    x = 1,478,801,923,600/560,400
  6. Step 6: Final answer
    x = 2,638,832.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.