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Finding the Third Proportional to 432,451 and 928,841

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Solution

The third proportional to 432,451 and 928,841 is: 1,995,013.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,451 : 928,841 = 928,841 : x
  2. Step 2: Convert to fraction form
    432,451/928,841 = 928,841/x
  3. Step 3: Cross multiply
    432,451x = 928,841 × 928,841
  4. Step 4: Simplify right side
    432,451x = 862,745,603,281
  5. Step 5: Solve for x
    x = 862,745,603,281/432,451
  6. Step 6: Final answer
    x = 1,995,013.55

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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.