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Finding the Third Proportional to 470,612 and 966,243

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Solution

The third proportional to 470,612 and 966,243 is: 1,983,854.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,612 : 966,243 = 966,243 : x
  2. Step 2: Convert to fraction form
    470,612/966,243 = 966,243/x
  3. Step 3: Cross multiply
    470,612x = 966,243 × 966,243
  4. Step 4: Simplify right side
    470,612x = 933,625,535,049
  5. Step 5: Solve for x
    x = 933,625,535,049/470,612
  6. Step 6: Final answer
    x = 1,983,854.08

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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.