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Finding the Third Proportional to 587,748 and 1,200,402.75

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Solution

The third proportional to 587,748 and 1,200,402.75 is: 2,451,674.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,748 : 1,200,402.75 = 1,200,402.75 : x
  2. Step 2: Convert to fraction form
    587,748/1,200,402.75 = 1,200,402.75/x
  3. Step 3: Cross multiply
    587,748x = 1,200,402.75 × 1,200,402.75
  4. Step 4: Simplify right side
    587,748x = 1,440,966,762,207.56
  5. Step 5: Solve for x
    x = 1,440,966,762,207.56/587,748
  6. Step 6: Final answer
    x = 2,451,674.46

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.