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Finding the Third Proportional to 470,808 and 966,402

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Solution

The third proportional to 470,808 and 966,402 is: 1,983,680.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,808 : 966,402 = 966,402 : x
  2. Step 2: Convert to fraction form
    470,808/966,402 = 966,402/x
  3. Step 3: Cross multiply
    470,808x = 966,402 × 966,402
  4. Step 4: Simplify right side
    470,808x = 933,932,825,604
  5. Step 5: Solve for x
    x = 933,932,825,604/470,808
  6. Step 6: Final answer
    x = 1,983,680.88

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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.