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Finding the Third Proportional to 473,815 and 966,656

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Solution

The third proportional to 473,815 and 966,656 is: 1,972,127.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,815 : 966,656 = 966,656 : x
  2. Step 2: Convert to fraction form
    473,815/966,656 = 966,656/x
  3. Step 3: Cross multiply
    473,815x = 966,656 × 966,656
  4. Step 4: Simplify right side
    473,815x = 934,423,822,336
  5. Step 5: Solve for x
    x = 934,423,822,336/473,815
  6. Step 6: Final answer
    x = 1,972,127.99

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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.