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Finding the Third Proportional to 470,742 and 966,291

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Solution

The third proportional to 470,742 and 966,291 is: 1,983,503.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,742 : 966,291 = 966,291 : x
  2. Step 2: Convert to fraction form
    470,742/966,291 = 966,291/x
  3. Step 3: Cross multiply
    470,742x = 966,291 × 966,291
  4. Step 4: Simplify right side
    470,742x = 933,718,296,681
  5. Step 5: Solve for x
    x = 933,718,296,681/470,742
  6. Step 6: Final answer
    x = 1,983,503.27

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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.