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Finding the Third Proportional to 432,768 and 934,656

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Solution

The third proportional to 432,768 and 934,656 is: 2,018,591.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,768 : 934,656 = 934,656 : x
  2. Step 2: Convert to fraction form
    432,768/934,656 = 934,656/x
  3. Step 3: Cross multiply
    432,768x = 934,656 × 934,656
  4. Step 4: Simplify right side
    432,768x = 873,581,838,336
  5. Step 5: Solve for x
    x = 873,581,838,336/432,768
  6. Step 6: Final answer
    x = 2,018,591.57

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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.