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Finding the Third Proportional to 601,476 and 1,299,720

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Solution

The third proportional to 601,476 and 1,299,720 is: 2,808,544.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,476 : 1,299,720 = 1,299,720 : x
  2. Step 2: Convert to fraction form
    601,476/1,299,720 = 1,299,720/x
  3. Step 3: Cross multiply
    601,476x = 1,299,720 × 1,299,720
  4. Step 4: Simplify right side
    601,476x = 1,689,272,078,400
  5. Step 5: Solve for x
    x = 1,689,272,078,400/601,476
  6. Step 6: Final answer
    x = 2,808,544.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.