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Finding the Third Proportional to 470,616 and 966,252

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Solution

The third proportional to 470,616 and 966,252 is: 1,983,874.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,616 : 966,252 = 966,252 : x
  2. Step 2: Convert to fraction form
    470,616/966,252 = 966,252/x
  3. Step 3: Cross multiply
    470,616x = 966,252 × 966,252
  4. Step 4: Simplify right side
    470,616x = 933,642,927,504
  5. Step 5: Solve for x
    x = 933,642,927,504/470,616
  6. Step 6: Final answer
    x = 1,983,874.17

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.