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Finding the Third Proportional to 733,600 and 1,607,160

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Solution

The third proportional to 733,600 and 1,607,160 is: 3,520,942.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,600 : 1,607,160 = 1,607,160 : x
  2. Step 2: Convert to fraction form
    733,600/1,607,160 = 1,607,160/x
  3. Step 3: Cross multiply
    733,600x = 1,607,160 × 1,607,160
  4. Step 4: Simplify right side
    733,600x = 2,582,963,265,600
  5. Step 5: Solve for x
    x = 2,582,963,265,600/733,600
  6. Step 6: Final answer
    x = 3,520,942.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.