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Finding the Third Proportional to 654,294 and 1,408,811

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Solution

The third proportional to 654,294 and 1,408,811 is: 3,033,419.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,294 : 1,408,811 = 1,408,811 : x
  2. Step 2: Convert to fraction form
    654,294/1,408,811 = 1,408,811/x
  3. Step 3: Cross multiply
    654,294x = 1,408,811 × 1,408,811
  4. Step 4: Simplify right side
    654,294x = 1,984,748,433,721
  5. Step 5: Solve for x
    x = 1,984,748,433,721/654,294
  6. Step 6: Final answer
    x = 3,033,419.89

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Why These Related Problems?

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